Atkin-Lehner |
2+ 3- 5+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
7950u |
Isogeny class |
Conductor |
7950 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
954000000000 = 210 · 32 · 59 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 -4 0 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-4251,95398] |
[a1,a2,a3,a4,a6] |
Generators |
[-49:456:1] |
Generators of the group modulo torsion |
j |
543538277281/61056000 |
j-invariant |
L |
3.9069106169384 |
L(r)(E,1)/r! |
Ω |
0.85348261961086 |
Real period |
R |
2.2888050249457 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63600bz1 23850cf1 1590n1 |
Quadratic twists by: -4 -3 5 |