Atkin-Lehner |
2- 3- 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
106470fu |
Isogeny class |
Conductor |
106470 |
Conductor |
∏ cp |
1232 |
Product of Tamagawa factors cp |
deg |
99348480 |
Modular degree for the optimal curve |
Δ |
2.7730282885337E+26 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 2 13+ -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3509464172,80018853856751] |
[a1,a2,a3,a4,a6] |
Generators |
[27349:2106261:1] |
Generators of the group modulo torsion |
j |
1358496453776544375572161/78807337984327680 |
j-invariant |
L |
12.65193317824 |
L(r)(E,1)/r! |
Ω |
0.052017998269384 |
Real period |
R |
0.78968254246613 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992185 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35490be1 8190i1 |
Quadratic twists by: -3 13 |