Atkin-Lehner |
2+ 3- 19+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
101232d |
Isogeny class |
Conductor |
101232 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
425984 |
Modular degree for the optimal curve |
Δ |
6706509011158608 = 24 · 322 · 192 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 4 -2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-59754,4010447] |
[a1,a2,a3,a4,a6] |
Generators |
[-592774:43006887:17576] |
Generators of the group modulo torsion |
j |
2022912739489792/574975052397 |
j-invariant |
L |
8.6606396671004 |
L(r)(E,1)/r! |
Ω |
0.39224448161214 |
Real period |
R |
11.039848950716 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011085 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50616e1 33744c1 |
Quadratic twists by: -4 -3 |