Atkin-Lehner |
2+ 3- 5+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
127800r |
Isogeny class |
Conductor |
127800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
1033562531250000 = 24 · 38 · 59 · 712 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 0 -4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-79050,8413625] |
[a1,a2,a3,a4,a6] |
Generators |
[-260:3375:1] |
Generators of the group modulo torsion |
j |
299751798784/5671125 |
j-invariant |
L |
7.2370948496417 |
L(r)(E,1)/r! |
Ω |
0.49273792820586 |
Real period |
R |
1.8359391621723 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999682132 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42600o1 25560n1 |
Quadratic twists by: -3 5 |