Atkin-Lehner |
5- 7+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
25025o |
Isogeny class |
Conductor |
25025 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4032 |
Modular degree for the optimal curve |
Δ |
-8133125 = -1 · 54 · 7 · 11 · 132 |
Discriminant |
Eigenvalues |
-1 -1 5- 7+ 11+ 13- 5 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-13,-144] |
[a1,a2,a3,a4,a6] |
Generators |
[6:3:1] |
Generators of the group modulo torsion |
j |
-390625/13013 |
j-invariant |
L |
2.1027812348197 |
L(r)(E,1)/r! |
Ω |
1.0156606620163 |
Real period |
R |
1.0351790285179 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25025e1 |
Quadratic twists by: 5 |