Atkin-Lehner |
3- 5+ 19- 83- |
Signs for the Atkin-Lehner involutions |
Class |
23655c |
Isogeny class |
Conductor |
23655 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1683456 |
Modular degree for the optimal curve |
Δ |
-12731194921875 = -1 · 3 · 58 · 19 · 833 |
Discriminant |
Eigenvalues |
2 3- 5+ -5 -6 6 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-7736346,8279740511] |
[a1,a2,a3,a4,a6] |
j |
-51207246403107142559002624/12731194921875 |
j-invariant |
L |
2.5088631437866 |
L(r)(E,1)/r! |
Ω |
0.41814385729779 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70965i1 118275d1 |
Quadratic twists by: -3 5 |