Atkin-Lehner |
2- 3+ 5+ 23- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
126270x |
Isogeny class |
Conductor |
126270 |
Conductor |
∏ cp |
484 |
Product of Tamagawa factors cp |
deg |
17067776 |
Modular degree for the optimal curve |
Δ |
8.0347016769753E+22 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 5 -6 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-26705483,51345015131] |
[a1,a2,a3,a4,a6] |
Generators |
[3595:40522:1] |
Generators of the group modulo torsion |
j |
78011969811396189657602067/2975815435916776806400 |
j-invariant |
L |
11.563090710892 |
L(r)(E,1)/r! |
Ω |
0.10748322417316 |
Real period |
R |
0.22227360125596 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999897021 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126270c1 |
Quadratic twists by: -3 |