Atkin-Lehner |
2+ 3- 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
25230i |
Isogeny class |
Conductor |
25230 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
44800 |
Modular degree for the optimal curve |
Δ |
10975050000 = 24 · 32 · 55 · 293 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 0 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-16954,-851044] |
[a1,a2,a3,a4,a6] |
Generators |
[249:3097:1] |
Generators of the group modulo torsion |
j |
22095784790981/450000 |
j-invariant |
L |
4.2579006312284 |
L(r)(E,1)/r! |
Ω |
0.4183936738136 |
Real period |
R |
5.0883903100377 |
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 |
75690bs1 126150cg1 25230r1 |
Quadratic twists by: -3 5 29 |