Atkin-Lehner |
5+ 17+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
114155b |
Isogeny class |
Conductor |
114155 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
4700801338465445 = 5 · 176 · 794 |
Discriminant |
Eigenvalues |
-1 0 5+ 4 -4 6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-45283,1706766] |
[a1,a2,a3,a4,a6] |
j |
425428681761/194750405 |
j-invariant |
L |
0.77778503921489 |
L(r)(E,1)/r! |
Ω |
0.38889287871875 |
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 |
395a3 |
Quadratic twists by: 17 |