Atkin-Lehner |
2+ 3+ 17- 31- |
Signs for the Atkin-Lehner involutions |
Class |
75888b |
Isogeny class |
Conductor |
75888 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
1436415827960431872 = 28 · 33 · 178 · 313 |
Discriminant |
Eigenvalues |
2+ 3+ 0 0 -4 -6 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-393135,75343198] |
[a1,a2,a3,a4,a6] |
Generators |
[201:2108:1] |
Generators of the group modulo torsion |
j |
972176485355766000/207814789924831 |
j-invariant |
L |
4.7616252778969 |
L(r)(E,1)/r! |
Ω |
0.25456992434564 |
Real period |
R |
0.77935778854545 |
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 |
37944a2 75888a2 |
Quadratic twists by: -4 -3 |