Atkin-Lehner |
2+ 7+ 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
48944d |
Isogeny class |
Conductor |
48944 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
38400 |
Modular degree for the optimal curve |
Δ |
23198672896 = 211 · 72 · 19 · 233 |
Discriminant |
Eigenvalues |
2+ -1 -1 7+ 1 2 -8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2896,60512] |
[a1,a2,a3,a4,a6] |
Generators |
[-43:322:1] [26:46:1] |
Generators of the group modulo torsion |
j |
1312016773538/11327477 |
j-invariant |
L |
7.3637447674689 |
L(r)(E,1)/r! |
Ω |
1.2076355285783 |
Real period |
R |
0.50813791310985 |
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 |
24472d1 |
Quadratic twists by: -4 |