Atkin-Lehner |
2- 3- 11- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
103092h |
Isogeny class |
Conductor |
103092 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
1658880 |
Modular degree for the optimal curve |
Δ |
-835296252230957616 = -1 · 24 · 312 · 117 · 712 |
Discriminant |
Eigenvalues |
2- 3- -2 0 11- -4 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2087169,-1162133964] |
[a1,a2,a3,a4,a6] |
j |
-35474858654973952/29468934891 |
j-invariant |
L |
1.5071961214896 |
L(r)(E,1)/r! |
Ω |
0.062799835052101 |
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 |
9372d1 |
Quadratic twists by: -11 |