Atkin-Lehner |
2- 3- 23+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
24426j |
Isogeny class |
Conductor |
24426 |
Conductor |
∏ cp |
92 |
Product of Tamagawa factors cp |
deg |
282624 |
Modular degree for the optimal curve |
Δ |
-664399253090598912 = -1 · 223 · 36 · 232 · 593 |
Discriminant |
Eigenvalues |
2- 3- 2 -1 -5 1 -1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-311654,-77526539] |
[a1,a2,a3,a4,a6] |
Generators |
[1033:-27013:1] |
Generators of the group modulo torsion |
j |
-4592117514716855577/911384434966528 |
j-invariant |
L |
8.6114354703062 |
L(r)(E,1)/r! |
Ω |
0.099960638540446 |
Real period |
R |
0.93639417301219 |
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 |
2714b1 |
Quadratic twists by: -3 |