Atkin-Lehner |
2- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
7616j |
Isogeny class |
Conductor |
7616 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
-124780544 = -1 · 220 · 7 · 17 |
Discriminant |
Eigenvalues |
2- 0 2 7- -2 0 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,116,-240] |
[a1,a2,a3,a4,a6] |
Generators |
[114:525:8] |
Generators of the group modulo torsion |
j |
658503/476 |
j-invariant |
L |
4.6261576940908 |
L(r)(E,1)/r! |
Ω |
1.0438712523988 |
Real period |
R |
4.4317320583934 |
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 |
7616a1 1904d1 68544ev1 53312bx1 |
Quadratic twists by: -4 8 -3 -7 |