Atkin-Lehner |
2+ 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
106352a |
Isogeny class |
Conductor |
106352 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
608256 |
Modular degree for the optimal curve |
Δ |
-1357984652554352 = -1 · 24 · 178 · 233 |
Discriminant |
Eigenvalues |
2+ 1 2 4 0 -1 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-353832,-81148417] |
[a1,a2,a3,a4,a6] |
Generators |
[380887199352941079347388509147898138801:7804147502631212992184507997665894166673:419781501243007653751109847748032633] |
Generators of the group modulo torsion |
j |
-12685358647552/3516263 |
j-invariant |
L |
11.545481993414 |
L(r)(E,1)/r! |
Ω |
0.09787301301233 |
Real period |
R |
58.981948333193 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53176g1 6256c1 |
Quadratic twists by: -4 17 |