Atkin-Lehner |
2+ 3- 5- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
31350bc |
Isogeny class |
Conductor |
31350 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
16882817688000 = 26 · 312 · 53 · 11 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 11- -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-17331,854158] |
[a1,a2,a3,a4,a6] |
Generators |
[23:672:1] |
Generators of the group modulo torsion |
j |
4605200502137117/135062541504 |
j-invariant |
L |
5.4210417879532 |
L(r)(E,1)/r! |
Ω |
0.69094452428229 |
Real period |
R |
0.32691009658025 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
94050dv2 31350bs2 |
Quadratic twists by: -3 5 |