Atkin-Lehner |
2- 3- 5+ 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
91350dz |
Isogeny class |
Conductor |
91350 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
39690240 |
Modular degree for the optimal curve |
Δ |
-8.9620444901985E+23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -3 -5 -2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1162102730,-15247848150853] |
[a1,a2,a3,a4,a6] |
Generators |
[136002842341799743315707414536171288082825585029257678277289888217837892337073895568441391953596340784212894:32372730553792763253933619425594009476250818726081215905859058892697508969021237258928400757929903702005588425:1811432031645069465450330359519571536521183391920315230907233021454301160138837626503583775518711742056] |
Generators of the group modulo torsion |
j |
-15237359766831865024183249/78679128583361250 |
j-invariant |
L |
8.5703962633278 |
L(r)(E,1)/r! |
Ω |
0.012928802288656 |
Real period |
R |
165.72293534969 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30450y1 18270x1 |
Quadratic twists by: -3 5 |