Atkin-Lehner |
2- 3- 5+ 29+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
32190u |
Isogeny class |
Conductor |
32190 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
1.8376270702266E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 -2 2 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3367381,-2369730079] |
[a1,a2,a3,a4,a6] |
Generators |
[-1102:2327:1] |
Generators of the group modulo torsion |
j |
4222799792480415376079569/18376270702266286080 |
j-invariant |
L |
9.2120268151706 |
L(r)(E,1)/r! |
Ω |
0.11147826425168 |
Real period |
R |
0.86078316075485 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
96570h1 |
Quadratic twists by: -3 |