Atkin-Lehner |
2+ 3- 5+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
48720r |
Isogeny class |
Conductor |
48720 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
237363840000 = 210 · 32 · 54 · 72 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-13536,-610236] |
[a1,a2,a3,a4,a6] |
Generators |
[656:16530:1] |
Generators of the group modulo torsion |
j |
267871726346116/231800625 |
j-invariant |
L |
7.4492127994268 |
L(r)(E,1)/r! |
Ω |
0.44263612550193 |
Real period |
R |
4.2073005174351 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999837 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
24360b2 |
Quadratic twists by: -4 |