Atkin-Lehner |
2+ 3+ 5+ 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
78960d |
Isogeny class |
Conductor |
78960 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
94769813376000 = 210 · 38 · 53 · 74 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -4 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-126656,17385456] |
[a1,a2,a3,a4,a6] |
j |
219434287582040836/92548645875 |
j-invariant |
L |
1.1824590013102 |
L(r)(E,1)/r! |
Ω |
0.5912294724029 |
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 |
39480ba4 |
Quadratic twists by: -4 |