Atkin-Lehner |
2+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
78400di |
Isogeny class |
Conductor |
78400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
12165120 |
Modular degree for the optimal curve |
Δ |
-9.6549157373047E+22 |
Discriminant |
Eigenvalues |
2+ -3 5+ 7- -1 1 -3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,9160550,-10469474750] |
[a1,a2,a3,a4,a6] |
j |
722603599520256/820654296875 |
j-invariant |
L |
0.4599414679091 |
L(r)(E,1)/r! |
Ω |
0.05749266787273 |
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 |
78400db1 39200ch1 15680y1 11200l1 |
Quadratic twists by: -4 8 5 -7 |