Atkin-Lehner |
3- 5+ 17- 89- |
Signs for the Atkin-Lehner involutions |
Class |
113475q |
Isogeny class |
Conductor |
113475 |
Conductor |
∏ cp |
90 |
Product of Tamagawa factors cp |
deg |
4183200 |
Modular degree for the optimal curve |
Δ |
-8725003789075171875 = -1 · 315 · 56 · 173 · 892 |
Discriminant |
Eigenvalues |
2 3- 5+ 4 -1 -5 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-45258,-142178731] |
[a1,a2,a3,a4,a6] |
j |
-656144293851136/558400242500811 |
j-invariant |
L |
9.4052367670026 |
L(r)(E,1)/r! |
Ω |
0.10450261149939 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4539b1 |
Quadratic twists by: 5 |