Atkin-Lehner |
2+ 3+ 5+ 13+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
20670b |
Isogeny class |
Conductor |
20670 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
-895168412798400 = -1 · 26 · 37 · 52 · 136 · 53 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 4 13+ 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-26878,2213428] |
[a1,a2,a3,a4,a6] |
Generators |
[164:1418:1] |
Generators of the group modulo torsion |
j |
-2147532809235896809/895168412798400 |
j-invariant |
L |
3.2484370371107 |
L(r)(E,1)/r! |
Ω |
0.46717089203731 |
Real period |
R |
3.4767117263497 |
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 |
62010ce1 103350cf1 |
Quadratic twists by: -3 5 |