Atkin-Lehner |
2+ 3- 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
119646bg |
Isogeny class |
Conductor |
119646 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
3290112 |
Modular degree for the optimal curve |
Δ |
7.1277898443273E+19 |
Discriminant |
Eigenvalues |
2+ 3- -1 -3 -2 -2 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1121085,-208879803] |
[a1,a2,a3,a4,a6] |
Generators |
[-939:4371:1] [-5778:122535:8] |
Generators of the group modulo torsion |
j |
30642250321/14016384 |
j-invariant |
L |
7.1648149431797 |
L(r)(E,1)/r! |
Ω |
0.15323267452522 |
Real period |
R |
1.2988263631094 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999973581 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39882bu1 119646l1 |
Quadratic twists by: -3 17 |