Atkin-Lehner |
2+ 3+ 17- 31- |
Signs for the Atkin-Lehner involutions |
Class |
75888b |
Isogeny class |
Conductor |
75888 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
488448 |
Modular degree for the optimal curve |
Δ |
-32022084214426032 = -1 · 24 · 33 · 174 · 316 |
Discriminant |
Eigenvalues |
2+ 3+ 0 0 -4 -6 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,53730,7151599] |
[a1,a2,a3,a4,a6] |
Generators |
[3735:228718:1] |
Generators of the group modulo torsion |
j |
39709140509952000/74125194940801 |
j-invariant |
L |
4.7616252778969 |
L(r)(E,1)/r! |
Ω |
0.25456992434564 |
Real period |
R |
1.5587155770909 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999988662 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37944a1 75888a1 |
Quadratic twists by: -4 -3 |