Atkin-Lehner |
2- 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
7350cb |
Isogeny class |
Conductor |
7350 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
-1407100422656250 = -1 · 2 · 37 · 58 · 77 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 2 -1 1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-37388,3301031] |
[a1,a2,a3,a4,a6] |
j |
-125768785/30618 |
j-invariant |
L |
2.7445913137813 |
L(r)(E,1)/r! |
Ω |
0.45743188563021 |
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 |
58800js1 22050cm1 7350y1 1050q1 |
Quadratic twists by: -4 -3 5 -7 |