Atkin-Lehner |
2+ 3- 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
53958p |
Isogeny class |
Conductor |
53958 |
Conductor |
∏ cp |
19 |
Product of Tamagawa factors cp |
deg |
38763648 |
Modular degree for the optimal curve |
Δ |
1.9805482122157E+23 |
Discriminant |
Eigenvalues |
2+ 3- 0 -1 4 6 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-4627073346,121145224779796] |
[a1,a2,a3,a4,a6] |
Generators |
[38858:122685:1] |
Generators of the group modulo torsion |
j |
139900792660212079521625/2529080952192 |
j-invariant |
L |
6.2416324287584 |
L(r)(E,1)/r! |
Ω |
0.072065697120429 |
Real period |
R |
4.5584374128357 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999636 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53958u1 |
Quadratic twists by: -23 |