Atkin-Lehner |
2+ 3+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
23232r |
Isogeny class |
Conductor |
23232 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
8064 |
Modular degree for the optimal curve |
Δ |
-2049271488 = -1 · 26 · 37 · 114 |
Discriminant |
Eigenvalues |
2+ 3+ -2 1 11- 2 -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,81,-2187] |
[a1,a2,a3,a4,a6] |
j |
61952/2187 |
j-invariant |
L |
0.70794525143265 |
L(r)(E,1)/r! |
Ω |
0.7079452514327 |
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 |
23232cd1 11616l1 69696ce1 23232s1 |
Quadratic twists by: -4 8 -3 -11 |