Atkin-Lehner |
2- 3- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
51156u |
Isogeny class |
Conductor |
51156 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
155520 |
Modular degree for the optimal curve |
Δ |
-151373851792128 = -1 · 28 · 315 · 72 · 292 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 0 -5 6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-15960,976052] |
[a1,a2,a3,a4,a6] |
Generators |
[109:729:1] |
Generators of the group modulo torsion |
j |
-49165312000/16553403 |
j-invariant |
L |
5.8902408063608 |
L(r)(E,1)/r! |
Ω |
0.54542918111271 |
Real period |
R |
1.3499096239865 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000108 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17052b1 51156h1 |
Quadratic twists by: -3 -7 |