Atkin-Lehner |
2- 3- 5+ 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
72150co |
Isogeny class |
Conductor |
72150 |
Conductor |
∏ cp |
3840 |
Product of Tamagawa factors cp |
deg |
232243200 |
Modular degree for the optimal curve |
Δ |
8.8898887990246E+31 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 0 13- -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-16797405963,-704525488301583] |
[a1,a2,a3,a4,a6] |
Generators |
[-76908:-11469471:1] |
Generators of the group modulo torsion |
j |
33545196597577725492544401775849/5689528831375764111360000000 |
j-invariant |
L |
12.469045522082 |
L(r)(E,1)/r! |
Ω |
0.013414617808231 |
Real period |
R |
3.8729658261675 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999296 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
14430b1 |
Quadratic twists by: 5 |