Atkin-Lehner |
2- 7- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
24794bb |
Isogeny class |
Conductor |
24794 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
75264 |
Modular degree for the optimal curve |
Δ |
98051678531884 = 22 · 713 · 11 · 23 |
Discriminant |
Eigenvalues |
2- 1 1 7- 11+ -3 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-43415,3445469] |
[a1,a2,a3,a4,a6] |
Generators |
[110:7:1] |
Generators of the group modulo torsion |
j |
76922876001889/833425516 |
j-invariant |
L |
9.7903465602676 |
L(r)(E,1)/r! |
Ω |
0.6017789046298 |
Real period |
R |
4.0672523101696 |
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 |
3542j1 |
Quadratic twists by: -7 |