Atkin-Lehner |
2+ 3+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
78a |
Isogeny class |
Conductor |
78 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
111045168 = 24 · 35 · 134 |
Discriminant |
Eigenvalues |
2+ 3+ 2 4 -4 13- 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-20739,1140957] |
[a1,a2,a3,a4,a6] |
j |
986551739719628473/111045168 |
j-invariant |
L |
0.7252179630883 |
L(r)(E,1)/r! |
Ω |
1.4504359261766 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
624i3 2496j4 234d3 1950v4 |
Quadratic twists by: -4 8 -3 5 |