Atkin-Lehner |
2- 3- 7- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
90846dk |
Isogeny class |
Conductor |
90846 |
Conductor |
∏ cp |
176 |
Product of Tamagawa factors cp |
deg |
3041280 |
Modular degree for the optimal curve |
Δ |
-1815553193539534848 = -1 · 222 · 36 · 78 · 103 |
Discriminant |
Eigenvalues |
2- 3- -4 7- 2 -2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-254687,81611975] |
[a1,a2,a3,a4,a6] |
Generators |
[-4618:50325:8] [-333:11542:1] |
Generators of the group modulo torsion |
j |
-21302308926361/21168652288 |
j-invariant |
L |
12.975784516736 |
L(r)(E,1)/r! |
Ω |
0.2406684877875 |
Real period |
R |
1.2253544128854 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000315 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10094c1 12978w1 |
Quadratic twists by: -3 -7 |