Atkin-Lehner |
3- 7- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
20349m |
Isogeny class |
Conductor |
20349 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8704 |
Modular degree for the optimal curve |
Δ |
133509789 = 310 · 7 · 17 · 19 |
Discriminant |
Eigenvalues |
2 3- -3 7- 2 1 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-129,-95] |
[a1,a2,a3,a4,a6] |
Generators |
[-46:167:8] |
Generators of the group modulo torsion |
j |
325660672/183141 |
j-invariant |
L |
8.7645291713841 |
L(r)(E,1)/r! |
Ω |
1.5243103689605 |
Real period |
R |
2.8749162079639 |
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 |
6783a1 |
Quadratic twists by: -3 |