Atkin-Lehner |
2+ 3- 7+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
49266n |
Isogeny class |
Conductor |
49266 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
249600 |
Modular degree for the optimal curve |
Δ |
-365414999556096 = -1 · 215 · 311 · 7 · 17 · 232 |
Discriminant |
Eigenvalues |
2+ 3- -3 7+ 5 5 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2871,922333] |
[a1,a2,a3,a4,a6] |
Generators |
[-61:962:1] |
Generators of the group modulo torsion |
j |
-3590714269297/501255143424 |
j-invariant |
L |
3.7633160175962 |
L(r)(E,1)/r! |
Ω |
0.43981247547178 |
Real period |
R |
1.0695797150682 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000021 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16422p1 |
Quadratic twists by: -3 |