Atkin-Lehner |
2- 3- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
89376ch |
Isogeny class |
Conductor |
89376 |
Conductor |
∏ cp |
180 |
Product of Tamagawa factors cp |
deg |
806400 |
Modular degree for the optimal curve |
Δ |
-149429947597689024 = -1 · 26 · 310 · 78 · 193 |
Discriminant |
Eigenvalues |
2- 3- -1 7+ -3 -4 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-227866,45735836] |
[a1,a2,a3,a4,a6] |
Generators |
[-523:4704:1] [-220:9234:1] |
Generators of the group modulo torsion |
j |
-3546499558336/405017091 |
j-invariant |
L |
12.337621448598 |
L(r)(E,1)/r! |
Ω |
0.31642296199703 |
Real period |
R |
0.21661620556197 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000091 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89376be1 89376bk1 |
Quadratic twists by: -4 -7 |