Atkin-Lehner |
2- 3- 7- 79- |
Signs for the Atkin-Lehner involutions |
Class |
69678bf |
Isogeny class |
Conductor |
69678 |
Conductor |
∏ cp |
224 |
Product of Tamagawa factors cp |
deg |
16859136 |
Modular degree for the optimal curve |
Δ |
5.9981747854002E+23 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 0 0 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-599261900,-5646146377777] |
[a1,a2,a3,a4,a6] |
Generators |
[-69185223:51834137:4913] |
Generators of the group modulo torsion |
j |
277496777264177185611625/6993641213411328 |
j-invariant |
L |
9.7311718449435 |
L(r)(E,1)/r! |
Ω |
0.030513782391245 |
Real period |
R |
5.6948340119185 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000496 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23226m1 9954j1 |
Quadratic twists by: -3 -7 |