Atkin-Lehner |
2+ 5+ 37- 61- |
Signs for the Atkin-Lehner involutions |
Class |
112850f |
Isogeny class |
Conductor |
112850 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
127680 |
Modular degree for the optimal curve |
Δ |
-83509000000 = -1 · 26 · 56 · 372 · 61 |
Discriminant |
Eigenvalues |
2+ 2 5+ -1 -3 -1 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-7375,241125] |
[a1,a2,a3,a4,a6] |
Generators |
[6:441:1] |
Generators of the group modulo torsion |
j |
-2839760855281/5344576 |
j-invariant |
L |
5.9630015378438 |
L(r)(E,1)/r! |
Ω |
1.0809055181599 |
Real period |
R |
1.379168063168 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000097352 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4514c1 |
Quadratic twists by: 5 |