Atkin-Lehner |
2- 3- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
87360gi |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
deg |
14192640 |
Modular degree for the optimal curve |
Δ |
2.0658870808564E+22 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 2 13- 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-147669761,690609822975] |
[a1,a2,a3,a4,a6] |
Generators |
[6949:7644:1] |
Generators of the group modulo torsion |
j |
1358496453776544375572161/78807337984327680 |
j-invariant |
L |
8.4694743433037 |
L(r)(E,1)/r! |
Ω |
0.11485263036506 |
Real period |
R |
1.7557643249939 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000216 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87360j1 21840bn1 |
Quadratic twists by: -4 8 |