Atkin-Lehner |
2+ 3+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
68952i |
Isogeny class |
Conductor |
68952 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
430080 |
Modular degree for the optimal curve |
Δ |
6792101279310672 = 24 · 34 · 137 · 174 |
Discriminant |
Eigenvalues |
2+ 3+ -2 4 0 13+ 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-75599,6974148] |
[a1,a2,a3,a4,a6] |
j |
618724784128/87947613 |
j-invariant |
L |
1.6174916903172 |
L(r)(E,1)/r! |
Ω |
0.40437292425186 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
5304j1 |
Quadratic twists by: 13 |