Atkin-Lehner |
2+ 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
58800r |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
617657250000 = 24 · 3 · 56 · 77 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 0 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8983,-322538] |
[a1,a2,a3,a4,a6] |
j |
2725888/21 |
j-invariant |
L |
1.9624649065191 |
L(r)(E,1)/r! |
Ω |
0.49061622684684 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29400dz1 2352i1 8400r1 |
Quadratic twists by: -4 5 -7 |