Atkin-Lehner |
2+ 3+ 5+ 11+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
117150b |
Isogeny class |
Conductor |
117150 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
49536 |
Modular degree for the optimal curve |
Δ |
-313141950 = -1 · 2 · 36 · 52 · 112 · 71 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 11+ -5 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,170,10] |
[a1,a2,a3,a4,a6] |
Generators |
[1:13:1] |
Generators of the group modulo torsion |
j |
21534394415/12525678 |
j-invariant |
L |
3.906590778797 |
L(r)(E,1)/r! |
Ω |
1.0176938386187 |
Real period |
R |
0.95966749552951 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999731348 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117150cg1 |
Quadratic twists by: 5 |