Atkin-Lehner |
2+ 19+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
125248f |
Isogeny class |
Conductor |
125248 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
159744 |
Modular degree for the optimal curve |
Δ |
8208252928 = 222 · 19 · 103 |
Discriminant |
Eigenvalues |
2+ 3 2 -3 0 0 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1804,29168] |
[a1,a2,a3,a4,a6] |
Generators |
[543:863:27] |
Generators of the group modulo torsion |
j |
2476813977/31312 |
j-invariant |
L |
13.686615365006 |
L(r)(E,1)/r! |
Ω |
1.3148554721264 |
Real period |
R |
5.2046082678302 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000031085 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125248br1 3914b1 |
Quadratic twists by: -4 8 |