Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
25200fn |
Isogeny class |
Conductor |
25200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
-78382080000 = -1 · 213 · 37 · 54 · 7 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 2 1 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-630075,-192502550] |
[a1,a2,a3,a4,a6] |
Generators |
[238195:9292338:125] |
Generators of the group modulo torsion |
j |
-14822892630025/42 |
j-invariant |
L |
6.0464584425315 |
L(r)(E,1)/r! |
Ω |
0.084726935164492 |
Real period |
R |
8.9205080279262 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3150bp1 100800pn1 8400ct1 25200dt2 |
Quadratic twists by: -4 8 -3 5 |