Atkin-Lehner |
5+ 7+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
25025d |
Isogeny class |
Conductor |
25025 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
278784 |
Modular degree for the optimal curve |
Δ |
-26823671875 = -1 · 57 · 74 · 11 · 13 |
Discriminant |
Eigenvalues |
2 0 5+ 7+ 11- 13- 5 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1864175,-979666219] |
[a1,a2,a3,a4,a6] |
Generators |
[27371007434994819149219230:-60185672834444520868804757:17337487024092387023864] |
Generators of the group modulo torsion |
j |
-45852574428123549696/1716715 |
j-invariant |
L |
9.910542918933 |
L(r)(E,1)/r! |
Ω |
0.064602286453357 |
Real period |
R |
38.352136832217 |
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 |
5005f1 |
Quadratic twists by: 5 |