Atkin-Lehner |
3- 5- 47- |
Signs for the Atkin-Lehner involutions |
Class |
33135j |
Isogeny class |
Conductor |
33135 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
194304 |
Modular degree for the optimal curve |
Δ |
-1846641274087635 = -1 · 36 · 5 · 477 |
Discriminant |
Eigenvalues |
0 3- 5- 2 6 -5 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,19145,-1792256] |
[a1,a2,a3,a4,a6] |
j |
71991296/171315 |
j-invariant |
L |
2.9125933553567 |
L(r)(E,1)/r! |
Ω |
0.24271611294551 |
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 |
99405d1 705c1 |
Quadratic twists by: -3 -47 |