Atkin-Lehner |
2+ 3- 11- 61- |
Signs for the Atkin-Lehner involutions |
Class |
32208g |
Isogeny class |
Conductor |
32208 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
-6173114112 = -1 · 28 · 33 · 114 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 2 4 11- -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,388,2508] |
[a1,a2,a3,a4,a6] |
j |
25168603952/24113727 |
j-invariant |
L |
5.2842247522107 |
L(r)(E,1)/r! |
Ω |
0.88070412536804 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16104a1 128832z1 96624j1 |
Quadratic twists by: -4 8 -3 |