Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
76050fd |
Isogeny class |
Conductor |
76050 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
2322432 |
Modular degree for the optimal curve |
Δ |
1429489652906250000 = 24 · 36 · 59 · 137 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 -6 13+ -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1236605,-525846603] |
[a1,a2,a3,a4,a6] |
Generators |
[1505:31188:1] |
Generators of the group modulo torsion |
j |
3803721481/26000 |
j-invariant |
L |
6.5234817157322 |
L(r)(E,1)/r! |
Ω |
0.14322562404368 |
Real period |
R |
2.8466806121726 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002497 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8450g1 15210v1 5850l1 |
Quadratic twists by: -3 5 13 |