Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
58800fw |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
248832 |
Modular degree for the optimal curve |
Δ |
-571536000000000 = -1 · 213 · 36 · 59 · 72 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -3 5 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-13008,1288512] |
[a1,a2,a3,a4,a6] |
Generators |
[-78:1350:1] |
Generators of the group modulo torsion |
j |
-77626969/182250 |
j-invariant |
L |
4.942561772504 |
L(r)(E,1)/r! |
Ω |
0.45844441746328 |
Real period |
R |
1.3476447700662 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000041 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7350cp1 11760cs1 58800hx1 |
Quadratic twists by: -4 5 -7 |