Atkin-Lehner |
2- 3+ 5+ 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
122640bg |
Isogeny class |
Conductor |
122640 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
22339432161607680 = 217 · 34 · 5 · 78 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 4 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1003896,387419760] |
[a1,a2,a3,a4,a6] |
j |
27316834291588875769/5453962930080 |
j-invariant |
L |
2.9625161497219 |
L(r)(E,1)/r! |
Ω |
0.37031449694376 |
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 |
15330h3 |
Quadratic twists by: -4 |