Atkin-Lehner |
2- 19- 43- |
Signs for the Atkin-Lehner involutions |
Class |
13072j |
Isogeny class |
Conductor |
13072 |
Conductor |
∏ cp |
88 |
Product of Tamagawa factors cp |
deg |
5491200 |
Modular degree for the optimal curve |
Δ |
-7.2273055066251E+24 |
Discriminant |
Eigenvalues |
2- 3 2 -3 -6 -3 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,48149861,13854117962] |
[a1,a2,a3,a4,a6] |
j |
3014039068081427225638287/1764478883453394378752 |
j-invariant |
L |
3.9696392571279 |
L(r)(E,1)/r! |
Ω |
0.045109537012817 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1634c1 52288q1 117648cf1 |
Quadratic twists by: -4 8 -3 |