Atkin-Lehner |
3+ 5+ 13- 43- |
Signs for the Atkin-Lehner involutions |
Class |
25155d |
Isogeny class |
Conductor |
25155 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
3575909025 = 39 · 52 · 132 · 43 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 2 -4 13- 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-488,3106] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:77:1] |
Generators of the group modulo torsion |
j |
651714363/181675 |
j-invariant |
L |
2.8367972643294 |
L(r)(E,1)/r! |
Ω |
1.308608732388 |
Real period |
R |
1.0838981867226 |
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 |
25155h1 125775b1 |
Quadratic twists by: -3 5 |