Atkin-Lehner |
2+ 3- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
25578j |
Isogeny class |
Conductor |
25578 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
204800 |
Modular degree for the optimal curve |
Δ |
-12715403550538752 = -1 · 210 · 316 · 73 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 0 -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,58014,698004] |
[a1,a2,a3,a4,a6] |
Generators |
[555:13992:1] |
Generators of the group modulo torsion |
j |
86356749052601/50852054016 |
j-invariant |
L |
4.341956025586 |
L(r)(E,1)/r! |
Ω |
0.24279291128861 |
Real period |
R |
4.4708430762468 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8526bc1 25578o1 |
Quadratic twists by: -3 -7 |