Atkin-Lehner |
5+ 23- 43- |
Signs for the Atkin-Lehner involutions |
Class |
24725g |
Isogeny class |
Conductor |
24725 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
-204367578125 = -1 · 58 · 233 · 43 |
Discriminant |
Eigenvalues |
-1 1 5+ -4 -5 1 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3188,-72883] |
[a1,a2,a3,a4,a6] |
Generators |
[137:-1506:1] |
Generators of the group modulo torsion |
j |
-229333309561/13079525 |
j-invariant |
L |
2.398523160864 |
L(r)(E,1)/r! |
Ω |
0.31663144641931 |
Real period |
R |
0.63126051544263 |
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 |
4945b1 |
Quadratic twists by: 5 |