Atkin-Lehner |
3+ 5+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
7725b |
Isogeny class |
Conductor |
7725 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
-5220423675 = -1 · 39 · 52 · 1032 |
Discriminant |
Eigenvalues |
0 3+ 5+ -1 -2 3 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-283,-3837] |
[a1,a2,a3,a4,a6] |
j |
-100618240000/208816947 |
j-invariant |
L |
1.09186855782 |
L(r)(E,1)/r! |
Ω |
0.54593427891001 |
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 |
123600bt1 23175l1 7725k1 |
Quadratic twists by: -4 -3 5 |