Atkin-Lehner |
2+ 3- 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
106470ch |
Isogeny class |
Conductor |
106470 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
23362560 |
Modular degree for the optimal curve |
Δ |
-3.3183233456325E+24 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 2 13+ 5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-23001354,97392304660] |
[a1,a2,a3,a4,a6] |
Generators |
[2801:232982:1] |
Generators of the group modulo torsion |
j |
-2263130418396289/5580130500000 |
j-invariant |
L |
5.3791835000213 |
L(r)(E,1)/r! |
Ω |
0.070305031424634 |
Real period |
R |
6.3760058402487 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015752 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35490cc1 106470es1 |
Quadratic twists by: -3 13 |