Atkin-Lehner |
2- 17- 61- |
Signs for the Atkin-Lehner involutions |
Class |
70516h |
Isogeny class |
Conductor |
70516 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
257040 |
Modular degree for the optimal curve |
Δ |
-108933428198656 = -1 · 28 · 178 · 61 |
Discriminant |
Eigenvalues |
2- -2 -3 -1 0 5 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-47492,3999364] |
[a1,a2,a3,a4,a6] |
j |
-6633808/61 |
j-invariant |
L |
0.59692392340753 |
L(r)(E,1)/r! |
Ω |
0.59692391771172 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
70516e1 |
Quadratic twists by: 17 |