Atkin-Lehner |
2+ 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
50400u |
Isogeny class |
Conductor |
50400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3548160 |
Modular degree for the optimal curve |
Δ |
-3.8288446875E+22 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -1 1 -3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,6730200,-6593022000] |
[a1,a2,a3,a4,a6] |
j |
722603599520256/820654296875 |
j-invariant |
L |
2.2355704349775 |
L(r)(E,1)/r! |
Ω |
0.062099178757142 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50400dp1 100800dd1 5600q1 10080cb1 |
Quadratic twists by: -4 8 -3 5 |