Atkin-Lehner |
2+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
22264b |
Isogeny class |
Conductor |
22264 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10240 |
Modular degree for the optimal curve |
Δ |
-651934448 = -1 · 24 · 116 · 23 |
Discriminant |
Eigenvalues |
2+ -1 -4 -2 11- 5 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-40,-1219] |
[a1,a2,a3,a4,a6] |
Generators |
[26:121:1] |
Generators of the group modulo torsion |
j |
-256/23 |
j-invariant |
L |
2.1572150995456 |
L(r)(E,1)/r! |
Ω |
0.71533997327459 |
Real period |
R |
0.75391253814274 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44528d1 184a1 |
Quadratic twists by: -4 -11 |