Atkin-Lehner |
2- 3- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
24552s |
Isogeny class |
Conductor |
24552 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
7168 |
Modular degree for the optimal curve |
Δ |
131254992 = 24 · 37 · 112 · 31 |
Discriminant |
Eigenvalues |
2- 3- -2 0 11- -4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-246,-1379] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:9:1] [18:5:1] |
Generators of the group modulo torsion |
j |
141150208/11253 |
j-invariant |
L |
7.1465638055102 |
L(r)(E,1)/r! |
Ω |
1.2115930482608 |
Real period |
R |
1.4746213292836 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49104p1 8184e1 |
Quadratic twists by: -4 -3 |