Atkin-Lehner |
2+ 3- 11+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
70488b |
Isogeny class |
Conductor |
70488 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
81920 |
Modular degree for the optimal curve |
Δ |
243180216576 = 28 · 36 · 114 · 89 |
Discriminant |
Eigenvalues |
2+ 3- 2 -4 11+ -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1719,13770] |
[a1,a2,a3,a4,a6] |
j |
3010120272/1303049 |
j-invariant |
L |
1.7811583621384 |
L(r)(E,1)/r! |
Ω |
0.89057919436427 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7832c1 |
Quadratic twists by: -3 |