Atkin-Lehner |
2+ 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
94640q |
Isogeny class |
Conductor |
94640 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
-2402968750000 = -1 · 24 · 510 · 7 · 133 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7- -6 13- -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-13511,613586] |
[a1,a2,a3,a4,a6] |
Generators |
[440790:3474316:3375] |
Generators of the group modulo torsion |
j |
-7760117512192/68359375 |
j-invariant |
L |
8.3528264102572 |
L(r)(E,1)/r! |
Ω |
0.82035692699205 |
Real period |
R |
10.181941691566 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015985 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47320f1 94640bc1 |
Quadratic twists by: -4 13 |