Atkin-Lehner |
2+ 3- 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
117978f |
Isogeny class |
Conductor |
117978 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
1396617265820211876 = 22 · 38 · 74 · 536 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ -4 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-292195,21491306] |
[a1,a2,a3,a4,a6] |
j |
124475734657/63011844 |
j-invariant |
L |
1.9095571209962 |
L(r)(E,1)/r! |
Ω |
0.2386947113679 |
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 |
42a3 |
Quadratic twists by: 53 |