Atkin-Lehner |
2- 3- 7+ 19+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
32718k |
Isogeny class |
Conductor |
32718 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
42240 |
Modular degree for the optimal curve |
Δ |
43269424128 = 210 · 33 · 72 · 19 · 412 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 2 4 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3072,64512] |
[a1,a2,a3,a4,a6] |
Generators |
[18:114:1] |
Generators of the group modulo torsion |
j |
3206241136852993/43269424128 |
j-invariant |
L |
12.029579683427 |
L(r)(E,1)/r! |
Ω |
1.1443373300756 |
Real period |
R |
0.35040890383354 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
98154n1 |
Quadratic twists by: -3 |