Atkin-Lehner |
5+ 11- 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
24035c |
Isogeny class |
Conductor |
24035 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
2764025 = 52 · 11 · 19 · 232 |
Discriminant |
Eigenvalues |
-1 0 5+ -2 11- -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-43,82] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:13:1] [-10:93:8] |
Generators of the group modulo torsion |
j |
8602523649/2764025 |
j-invariant |
L |
4.5214634353104 |
L(r)(E,1)/r! |
Ω |
2.3566373341129 |
Real period |
R |
1.9186080818894 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999984 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
120175h1 |
Quadratic twists by: 5 |