Atkin-Lehner |
2- 3- 23- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
33672i |
Isogeny class |
Conductor |
33672 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
17600 |
Modular degree for the optimal curve |
Δ |
8620032 = 211 · 3 · 23 · 61 |
Discriminant |
Eigenvalues |
2- 3- 0 -3 1 6 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3248,70176] |
[a1,a2,a3,a4,a6] |
j |
1850868337250/4209 |
j-invariant |
L |
2.0030631521566 |
L(r)(E,1)/r! |
Ω |
2.0030631521506 |
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 |
67344a1 101016c1 |
Quadratic twists by: -4 -3 |