Atkin-Lehner |
3+ 7- 17- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
107457g |
Isogeny class |
Conductor |
107457 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
491520 |
Modular degree for the optimal curve |
Δ |
14677604176473 = 34 · 78 · 17 · 432 |
Discriminant |
Eigenvalues |
-1 3+ 4 7- 2 -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-69581,-7091134] |
[a1,a2,a3,a4,a6] |
Generators |
[-9823960:1932581:64000] |
Generators of the group modulo torsion |
j |
316670684057281/124757577 |
j-invariant |
L |
5.4421973200478 |
L(r)(E,1)/r! |
Ω |
0.29395924553757 |
Real period |
R |
9.2567208108651 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999790898 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15351f1 |
Quadratic twists by: -7 |