Atkin-Lehner |
2- 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
70574n |
Isogeny class |
Conductor |
70574 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
254663364434948 = 22 · 7 · 717 |
Discriminant |
Eigenvalues |
2- -2 4 7- -2 -6 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-55556,-4985972] |
[a1,a2,a3,a4,a6] |
j |
148035889/1988 |
j-invariant |
L |
2.4897726919717 |
L(r)(E,1)/r! |
Ω |
0.31122159056331 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
994e1 |
Quadratic twists by: -71 |