Atkin-Lehner |
2- 11+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
25696c |
Isogeny class |
Conductor |
25696 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
189696 |
Modular degree for the optimal curve |
Δ |
-154820848726016 = -1 · 212 · 113 · 734 |
Discriminant |
Eigenvalues |
2- -1 1 4 11+ -6 8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-219645,39699253] |
[a1,a2,a3,a4,a6] |
j |
-286107805145529856/37798058771 |
j-invariant |
L |
2.2237872423528 |
L(r)(E,1)/r! |
Ω |
0.55594681058815 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25696b1 51392e1 |
Quadratic twists by: -4 8 |