Atkin-Lehner |
7+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
32851g |
Isogeny class |
Conductor |
32851 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
20880 |
Modular degree for the optimal curve |
Δ |
-6567801877 = -1 · 72 · 135 · 192 |
Discriminant |
Eigenvalues |
1 2 2 7+ -1 13- 1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2534,-50323] |
[a1,a2,a3,a4,a6] |
Generators |
[3108:28021:27] |
Generators of the group modulo torsion |
j |
-4987743443713/18193357 |
j-invariant |
L |
10.495643925224 |
L(r)(E,1)/r! |
Ω |
0.3363572267453 |
Real period |
R |
3.1203860332609 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32851c1 |
Quadratic twists by: -19 |