Atkin-Lehner |
2- 11- 79- |
Signs for the Atkin-Lehner involutions |
Class |
38236f |
Isogeny class |
Conductor |
38236 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
50400 |
Modular degree for the optimal curve |
Δ |
35828049664 = 28 · 116 · 79 |
Discriminant |
Eigenvalues |
2- -1 1 -3 11- 1 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-21820,1247864] |
[a1,a2,a3,a4,a6] |
Generators |
[11170:-7502:125] [-70:1558:1] |
Generators of the group modulo torsion |
j |
2533446736/79 |
j-invariant |
L |
7.3559674396201 |
L(r)(E,1)/r! |
Ω |
1.0805222628539 |
Real period |
R |
1.1346314790699 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
316a1 |
Quadratic twists by: -11 |