Atkin-Lehner |
2+ 11+ 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
46904b |
Isogeny class |
Conductor |
46904 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
-9443838976 = -1 · 210 · 113 · 132 · 41 |
Discriminant |
Eigenvalues |
2+ 2 -3 -1 11+ 13- 3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,528,-484] |
[a1,a2,a3,a4,a6] |
Generators |
[2:24:1] |
Generators of the group modulo torsion |
j |
15867289148/9222499 |
j-invariant |
L |
6.4969916442204 |
L(r)(E,1)/r! |
Ω |
0.766728035252 |
Real period |
R |
2.1184146612338 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999895 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
93808t1 |
Quadratic twists by: -4 |