Atkin-Lehner |
2+ 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
770a |
Isogeny class |
Conductor |
770 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
42350 = 2 · 52 · 7 · 112 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7- 11+ 2 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-73,-273] |
[a1,a2,a3,a4,a6] |
j |
43949604889/42350 |
j-invariant |
L |
1.6305047713728 |
L(r)(E,1)/r! |
Ω |
1.6305047713728 |
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 |
6160h2 24640y2 6930bj2 3850p2 |
Quadratic twists by: -4 8 -3 5 |