Atkin-Lehner |
5+ 7+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
25025c |
Isogeny class |
Conductor |
25025 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
391406640625 = 58 · 72 · 112 · 132 |
Discriminant |
Eigenvalues |
-1 0 5+ 7+ 11- 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3855,88022] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:425:1] |
Generators of the group modulo torsion |
j |
405388302201/25050025 |
j-invariant |
L |
2.9148438972419 |
L(r)(E,1)/r! |
Ω |
0.933574595938 |
Real period |
R |
1.5611199736606 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
5005e2 |
Quadratic twists by: 5 |