Atkin-Lehner |
2- 3+ 5+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
75900d |
Isogeny class |
Conductor |
75900 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
-1707750000 = -1 · 24 · 33 · 56 · 11 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 11+ 6 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-258,2637] |
[a1,a2,a3,a4,a6] |
Generators |
[83:739:1] |
Generators of the group modulo torsion |
j |
-7626496/6831 |
j-invariant |
L |
6.1167683135202 |
L(r)(E,1)/r! |
Ω |
1.3650047847076 |
Real period |
R |
4.4811332413746 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999969456 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3036f1 |
Quadratic twists by: 5 |