Atkin-Lehner |
3- 5+ 23+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
122475r |
Isogeny class |
Conductor |
122475 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
521280 |
Modular degree for the optimal curve |
Δ |
90542558287575 = 310 · 52 · 233 · 712 |
Discriminant |
Eigenvalues |
1 3- 5+ 1 -5 5 6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-56161,5097473] |
[a1,a2,a3,a4,a6] |
Generators |
[103:587:1] |
Generators of the group modulo torsion |
j |
783568707666901105/3621702331503 |
j-invariant |
L |
10.020319263339 |
L(r)(E,1)/r! |
Ω |
0.60635119946353 |
Real period |
R |
0.82628015188436 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000039499 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122475o1 |
Quadratic twists by: 5 |