Atkin-Lehner |
2- 3- 61- |
Signs for the Atkin-Lehner involutions |
Class |
35136cj |
Isogeny class |
Conductor |
35136 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
350208 |
Modular degree for the optimal curve |
Δ |
-165017866192551936 = -1 · 237 · 39 · 61 |
Discriminant |
Eigenvalues |
2- 3- 1 2 -6 0 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-525612,-147968048] |
[a1,a2,a3,a4,a6] |
j |
-84033427451401/863502336 |
j-invariant |
L |
1.4176113696771 |
L(r)(E,1)/r! |
Ω |
0.088600710604273 |
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 |
35136u1 8784p1 11712bl1 |
Quadratic twists by: -4 8 -3 |