Atkin-Lehner |
3- 5+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
25575n |
Isogeny class |
Conductor |
25575 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
16022337890625 = 37 · 59 · 112 · 31 |
Discriminant |
Eigenvalues |
1 3- 5+ -2 11- -6 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-4413776,-3569506927] |
[a1,a2,a3,a4,a6] |
j |
608603451835763140849/1025429625 |
j-invariant |
L |
1.4582266466413 |
L(r)(E,1)/r! |
Ω |
0.10415904618867 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76725r1 5115b1 |
Quadratic twists by: -3 5 |