Atkin-Lehner |
2- 5+ 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
71390l |
Isogeny class |
Conductor |
71390 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
9100800 |
Modular degree for the optimal curve |
Δ |
-8.3313131815438E+22 |
Discriminant |
Eigenvalues |
2- -2 5+ 0 11- 6 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-7717201,16153095465] |
[a1,a2,a3,a4,a6] |
j |
-28691089512563706409/47028090940948480 |
j-invariant |
L |
2.3230504274843 |
L(r)(E,1)/r! |
Ω |
0.096793768826107 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6490d1 |
Quadratic twists by: -11 |