Atkin-Lehner |
2+ 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
24986d |
Isogeny class |
Conductor |
24986 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
76800 |
Modular degree for the optimal curve |
Δ |
-354802671575456 = -1 · 25 · 13 · 318 |
Discriminant |
Eigenvalues |
2+ -1 1 -3 0 13- 5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2422,-908428] |
[a1,a2,a3,a4,a6] |
Generators |
[7124:26229:64] |
Generators of the group modulo torsion |
j |
-1771561/399776 |
j-invariant |
L |
2.7141901027563 |
L(r)(E,1)/r! |
Ω |
0.24033152514155 |
Real period |
R |
2.8233812658969 |
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 |
806a1 |
Quadratic twists by: -31 |