Atkin-Lehner |
2- 3+ 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
75888p |
Isogeny class |
Conductor |
75888 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
65664 |
Modular degree for the optimal curve |
Δ |
323250324048 = 24 · 33 · 176 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 0 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4944,-130977] |
[a1,a2,a3,a4,a6] |
Generators |
[-273225498:-1236507:6028568] |
Generators of the group modulo torsion |
j |
30936797282304/748264639 |
j-invariant |
L |
7.6469823161453 |
L(r)(E,1)/r! |
Ω |
0.57019062260882 |
Real period |
R |
13.411273375206 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000047 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18972a1 75888r1 |
Quadratic twists by: -4 -3 |