Atkin-Lehner |
2- 3+ 5+ 13+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
20670t |
Isogeny class |
Conductor |
20670 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
1428710400 = 210 · 34 · 52 · 13 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 2 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1216,15713] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:189:1] |
Generators of the group modulo torsion |
j |
198859690257409/1428710400 |
j-invariant |
L |
6.9821489271532 |
L(r)(E,1)/r! |
Ω |
1.5239076138943 |
Real period |
R |
0.45817402994073 |
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 |
62010q1 103350t1 |
Quadratic twists by: -3 5 |