Atkin-Lehner |
2+ 3+ 5- 7+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
61320f |
Isogeny class |
Conductor |
61320 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-3957524121600 = -1 · 211 · 32 · 52 · 76 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 2 -2 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1400,93100] |
[a1,a2,a3,a4,a6] |
j |
148070185198/1932384825 |
j-invariant |
L |
1.1587138304005 |
L(r)(E,1)/r! |
Ω |
0.57935691847771 |
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 |
122640u2 |
Quadratic twists by: -4 |