Atkin-Lehner |
2- 3- 61- |
Signs for the Atkin-Lehner involutions |
Class |
35136cq |
Isogeny class |
Conductor |
35136 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-17485922304 = -1 · 217 · 37 · 61 |
Discriminant |
Eigenvalues |
2- 3- 3 -2 6 -4 -5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,564,3728] |
[a1,a2,a3,a4,a6] |
j |
207646/183 |
j-invariant |
L |
3.2040032420794 |
L(r)(E,1)/r! |
Ω |
0.80100081051944 |
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 |
35136z1 8784a1 11712bc1 |
Quadratic twists by: -4 8 -3 |