Atkin-Lehner |
2- 7- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
24794bd |
Isogeny class |
Conductor |
24794 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
331200 |
Modular degree for the optimal curve |
Δ |
714524465413017952 = 25 · 72 · 11 · 2310 |
Discriminant |
Eigenvalues |
2- -1 0 7- 11+ 5 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-223763,2321073] |
[a1,a2,a3,a4,a6] |
Generators |
[-355589:13049382:2197] |
Generators of the group modulo torsion |
j |
25286724761962890625/14582131947204448 |
j-invariant |
L |
6.7319383487245 |
L(r)(E,1)/r! |
Ω |
0.24306156141191 |
Real period |
R |
2.769643340403 |
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 |
24794z1 |
Quadratic twists by: -7 |