Atkin-Lehner |
2- 5+ 11- 73- |
Signs for the Atkin-Lehner involutions |
Class |
40150bd |
Isogeny class |
Conductor |
40150 |
Conductor |
∏ cp |
616 |
Product of Tamagawa factors cp |
deg |
5322240 |
Modular degree for the optimal curve |
Δ |
-4.15388537036E+20 |
Discriminant |
Eigenvalues |
2- -3 5+ -5 11- 0 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,561870,966952497] |
[a1,a2,a3,a4,a6] |
Generators |
[-751:11375:1] [393:-35529:1] |
Generators of the group modulo torsion |
j |
1255486201279267671/26584866370304000 |
j-invariant |
L |
7.5913388189579 |
L(r)(E,1)/r! |
Ω |
0.12568092423968 |
Real period |
R |
0.098054673399169 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8030c1 |
Quadratic twists by: 5 |