Atkin-Lehner |
2- 3- 5+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
70380v |
Isogeny class |
Conductor |
70380 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
16560 |
Modular degree for the optimal curve |
Δ |
-22803120 = -1 · 24 · 36 · 5 · 17 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 -3 -2 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-48,-263] |
[a1,a2,a3,a4,a6] |
j |
-1048576/1955 |
j-invariant |
L |
2.5631047590408 |
L(r)(E,1)/r! |
Ω |
0.85436825780294 |
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 |
7820f1 |
Quadratic twists by: -3 |