Atkin-Lehner |
5- 7- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
54145v |
Isogeny class |
Conductor |
54145 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
391680 |
Modular degree for the optimal curve |
Δ |
-237516762711921875 = -1 · 56 · 77 · 13 · 175 |
Discriminant |
Eigenvalues |
1 -1 5- 7- -5 13+ 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,131883,-14435756] |
[a1,a2,a3,a4,a6] |
Generators |
[1014:16153:8] [148:2816:1] |
Generators of the group modulo torsion |
j |
2156238418114871/2018859171875 |
j-invariant |
L |
9.802438354132 |
L(r)(E,1)/r! |
Ω |
0.17122520719061 |
Real period |
R |
0.47707336802049 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7735b1 |
Quadratic twists by: -7 |