Atkin-Lehner |
2- 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
94640di |
Isogeny class |
Conductor |
94640 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
774144 |
Modular degree for the optimal curve |
Δ |
8818933760000000 = 220 · 57 · 72 · 133 |
Discriminant |
Eigenvalues |
2- 0 5- 7- -4 13- 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-346307,-78310206] |
[a1,a2,a3,a4,a6] |
Generators |
[-337:350:1] |
Generators of the group modulo torsion |
j |
510408052788213/980000000 |
j-invariant |
L |
5.8190697145994 |
L(r)(E,1)/r! |
Ω |
0.19682684433766 |
Real period |
R |
1.0558718184472 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015807 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11830k1 94640bz1 |
Quadratic twists by: -4 13 |