Atkin-Lehner |
2+ 11+ 13- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
49192a |
Isogeny class |
Conductor |
49192 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
154758032 = 24 · 113 · 132 · 43 |
Discriminant |
Eigenvalues |
2+ 0 -2 1 11+ 13- -2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-191,-821] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:13:1] [-5:3:1] |
Generators of the group modulo torsion |
j |
48161924352/9672377 |
j-invariant |
L |
8.6281537112866 |
L(r)(E,1)/r! |
Ω |
1.3022831448869 |
Real period |
R |
1.6563513367202 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98384g1 |
Quadratic twists by: -4 |