Atkin-Lehner |
5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
7865b |
Isogeny class |
Conductor |
7865 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2800 |
Modular degree for the optimal curve |
Δ |
115151465 = 5 · 116 · 13 |
Discriminant |
Eigenvalues |
1 -2 5+ 4 11- 13- -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-124,-123] |
[a1,a2,a3,a4,a6] |
Generators |
[99:930:1] |
Generators of the group modulo torsion |
j |
117649/65 |
j-invariant |
L |
3.5637126765735 |
L(r)(E,1)/r! |
Ω |
1.5332023401966 |
Real period |
R |
4.648718023893 |
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 |
125840by1 70785bf1 39325d1 65a1 |
Quadratic twists by: -4 -3 5 -11 |