Atkin-Lehner |
2+ 5- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
12350i |
Isogeny class |
Conductor |
12350 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
476632812500 = 22 · 59 · 132 · 192 |
Discriminant |
Eigenvalues |
2+ 0 5- 2 4 13+ 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-450617,-116315959] |
[a1,a2,a3,a4,a6] |
Generators |
[8644:796803:1] |
Generators of the group modulo torsion |
j |
5181039829561653/244036 |
j-invariant |
L |
3.7334326602794 |
L(r)(E,1)/r! |
Ω |
0.18426702226582 |
Real period |
R |
5.0652479949635 |
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 |
98800cj2 111150fb2 12350z2 |
Quadratic twists by: -4 -3 5 |