Atkin-Lehner |
2+ 5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
45080n |
Isogeny class |
Conductor |
45080 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-28056133506800 = -1 · 24 · 52 · 78 · 233 |
Discriminant |
Eigenvalues |
2+ 1 5- 7- -2 5 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-45880,-3806447] |
[a1,a2,a3,a4,a6] |
j |
-5674076449024/14904575 |
j-invariant |
L |
3.913864853266 |
L(r)(E,1)/r! |
Ω |
0.16307770220705 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90160bd1 6440b1 |
Quadratic twists by: -4 -7 |