Atkin-Lehner |
2+ 3+ 5+ 13- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
20670h |
Isogeny class |
Conductor |
20670 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-550318080000 = -1 · 215 · 3 · 54 · 132 · 53 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -5 5 13- 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3028,-74672] |
[a1,a2,a3,a4,a6] |
j |
-3071958955278409/550318080000 |
j-invariant |
L |
1.2746998816566 |
L(r)(E,1)/r! |
Ω |
0.31867497041416 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62010ci1 103350bv1 |
Quadratic twists by: -3 5 |