Atkin-Lehner |
2+ 3- 13- |
Signs for the Atkin-Lehner involutions |
Class |
7488bc |
Isogeny class |
Conductor |
7488 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2048 |
Modular degree for the optimal curve |
Δ |
-70963776 = -1 · 26 · 38 · 132 |
Discriminant |
Eigenvalues |
2+ 3- -2 2 -6 13- 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,69,-340] |
[a1,a2,a3,a4,a6] |
Generators |
[194:999:8] |
Generators of the group modulo torsion |
j |
778688/1521 |
j-invariant |
L |
3.7269333192879 |
L(r)(E,1)/r! |
Ω |
1.0162930489973 |
Real period |
R |
3.6671837153321 |
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 |
7488bd1 3744c2 2496e1 97344bw1 |
Quadratic twists by: -4 8 -3 13 |