Atkin-Lehner |
2- 3+ 29+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
7482b |
Isogeny class |
Conductor |
7482 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2880 |
Modular degree for the optimal curve |
Δ |
140601744 = 24 · 35 · 292 · 43 |
Discriminant |
Eigenvalues |
2- 3+ -2 2 0 2 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-179,-799] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:16:1] |
Generators of the group modulo torsion |
j |
634504103857/140601744 |
j-invariant |
L |
5.0497958836403 |
L(r)(E,1)/r! |
Ω |
1.3258304600347 |
Real period |
R |
1.904389752634 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59856m1 22446d1 |
Quadratic twists by: -4 -3 |