Atkin-Lehner |
2+ 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
25024j |
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 |
[5:17:1] |
Generators of the group modulo torsion |
j |
9199872/6647 |
j-invariant |
L |
2.2733292832368 |
L(r)(E,1)/r! |
Ω |
1.3302783090946 |
Real period |
R |
0.85445626967491 |
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 |
25024s1 1564b1 |
Quadratic twists by: -4 8 |