Atkin-Lehner |
2- 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
25024s |
Isogeny class |
Conductor |
25024 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5376 |
Modular degree for the optimal curve |
Δ |
-6806528 = -1 · 210 · 172 · 23 |
Discriminant |
Eigenvalues |
2- 3 -2 0 0 -3 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,44,56] |
[a1,a2,a3,a4,a6] |
Generators |
[-33:17:27] |
Generators of the group modulo torsion |
j |
9199872/6647 |
j-invariant |
L |
8.1937484465777 |
L(r)(E,1)/r! |
Ω |
1.5050039786111 |
Real period |
R |
2.7221683673352 |
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 |
25024j1 6256j1 |
Quadratic twists by: -4 8 |