Atkin-Lehner |
5- 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
76705g |
Isogeny class |
Conductor |
76705 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
3463680 |
Modular degree for the optimal curve |
Δ |
-964257206669921875 = -1 · 510 · 237 · 29 |
Discriminant |
Eigenvalues |
0 2 5- 2 0 5 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-51853285,-143701175152] |
[a1,a2,a3,a4,a6] |
Generators |
[185376432:35297357231:4913] |
Generators of the group modulo torsion |
j |
-104156296498930253824/6513671875 |
j-invariant |
L |
9.5949158048531 |
L(r)(E,1)/r! |
Ω |
0.028130372814611 |
Real period |
R |
8.5271850696044 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002258 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3335a1 |
Quadratic twists by: -23 |