Atkin-Lehner |
3- 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
24909h |
Isogeny class |
Conductor |
24909 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
35840 |
Modular degree for the optimal curve |
Δ |
-23806004571 = -1 · 38 · 193 · 232 |
Discriminant |
Eigenvalues |
-2 3- -3 -3 -3 -2 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-1982,34112] |
[a1,a2,a3,a4,a6] |
Generators |
[82:-656:1] [-310:1859:8] |
Generators of the group modulo torsion |
j |
-125600960512/3470769 |
j-invariant |
L |
3.8296032125896 |
L(r)(E,1)/r! |
Ω |
1.1956306490314 |
Real period |
R |
0.10009370409698 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74727j1 24909a1 |
Quadratic twists by: -3 -19 |