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 |
2554695936 = 28 · 310 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 2 4 -4 13- 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1299,17325] |
[a1,a2,a3,a4,a6] |
j |
242702053576633/2554695936 |
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 |
624i2 2496j2 234d2 1950v2 |
Quadratic twists by: -4 8 -3 5 |