Atkin-Lehner |
2+ 5+ 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
80080h |
Isogeny class |
Conductor |
80080 |
Conductor |
∏ cp |
352 |
Product of Tamagawa factors cp |
deg |
223928320 |
Modular degree for the optimal curve |
Δ |
-9.8268191092349E+31 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7- 11- 13- -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2908665144,-473104546086400] |
[a1,a2,a3,a4,a6] |
j |
2657693749933615014304306591964/95965030363622338932998359375 |
j-invariant |
L |
3.2086237148787 |
L(r)(E,1)/r! |
Ω |
0.0091154082909878 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40040j1 |
Quadratic twists by: -4 |