Atkin-Lehner |
2+ 11- 103- |
Signs for the Atkin-Lehner involutions |
Class |
36256f |
Isogeny class |
Conductor |
36256 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
26400 |
Modular degree for the optimal curve |
Δ |
-8493185536 = -1 · 29 · 115 · 103 |
Discriminant |
Eigenvalues |
2+ 2 -2 -5 11- -1 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-184,-4476] |
[a1,a2,a3,a4,a6] |
Generators |
[24:66:1] |
Generators of the group modulo torsion |
j |
-1352899016/16588253 |
j-invariant |
L |
5.359295905498 |
L(r)(E,1)/r! |
Ω |
0.55720697364408 |
Real period |
R |
0.96181421966936 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36256j1 72512c1 |
Quadratic twists by: -4 8 |