Atkin-Lehner |
2- 3- 5+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
70800cl |
Isogeny class |
Conductor |
70800 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1658880 |
Modular degree for the optimal curve |
Δ |
-13763520000000000 = -1 · 215 · 36 · 510 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -1 5 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-16710208,-26297406412] |
[a1,a2,a3,a4,a6] |
j |
-12900582314233225/344088 |
j-invariant |
L |
3.5842254994782 |
L(r)(E,1)/r! |
Ω |
0.037335682286819 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8850r1 70800by1 |
Quadratic twists by: -4 5 |