Atkin-Lehner |
2+ 3- 5- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
25440p |
Isogeny class |
Conductor |
25440 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
1001471040 = 26 · 310 · 5 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 0 -4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-250,-160] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:36:1] |
Generators of the group modulo torsion |
j |
27108144064/15647985 |
j-invariant |
L |
7.604467058705 |
L(r)(E,1)/r! |
Ω |
1.3098720975724 |
Real period |
R |
1.1611007017858 |
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 |
25440ba1 50880d1 76320bo1 127200cf1 |
Quadratic twists by: -4 8 -3 5 |