Atkin-Lehner |
2- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
123200hy |
Isogeny class |
Conductor |
123200 |
Conductor |
∏ cp |
21 |
Product of Tamagawa factors cp |
deg |
4838400 |
Modular degree for the optimal curve |
Δ |
873025260800000000 = 214 · 58 · 7 · 117 |
Discriminant |
Eigenvalues |
2- -2 5- 7- 11- -7 -1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-10027333,12218124963] |
[a1,a2,a3,a4,a6] |
Generators |
[1358:33275:1] |
Generators of the group modulo torsion |
j |
17422083655275520/136410197 |
j-invariant |
L |
3.5419893185459 |
L(r)(E,1)/r! |
Ω |
0.25203406751975 |
Real period |
R |
0.66921969044311 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998446226 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123200cq1 30800u1 123200eu1 |
Quadratic twists by: -4 8 5 |