Atkin-Lehner |
2+ 3+ 7+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
54978a |
Isogeny class |
Conductor |
54978 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
5122740523824 = 24 · 33 · 78 · 112 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7+ 11+ 3 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-4337,13413] |
[a1,a2,a3,a4,a6] |
Generators |
[118:-1137:1] |
Generators of the group modulo torsion |
j |
1565539801/888624 |
j-invariant |
L |
3.8692762035696 |
L(r)(E,1)/r! |
Ω |
0.65894135209788 |
Real period |
R |
0.48932986616732 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998955 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54978x1 |
Quadratic twists by: -7 |