Atkin-Lehner |
2+ 3+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
35136h |
Isogeny class |
Conductor |
35136 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-629493202944 = -1 · 219 · 39 · 61 |
Discriminant |
Eigenvalues |
2+ 3+ -1 4 6 6 -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4428,119664] |
[a1,a2,a3,a4,a6] |
j |
-1860867/122 |
j-invariant |
L |
3.592810135616 |
L(r)(E,1)/r! |
Ω |
0.89820253390228 |
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 |
35136bo1 1098a1 35136g1 |
Quadratic twists by: -4 8 -3 |