Atkin-Lehner |
2+ 3- 13+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
104442m |
Isogeny class |
Conductor |
104442 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
419328 |
Modular degree for the optimal curve |
Δ |
4963658688768 = 28 · 3 · 137 · 103 |
Discriminant |
Eigenvalues |
2+ 3- 2 4 -4 13+ 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-15045,-703376] |
[a1,a2,a3,a4,a6] |
j |
78018694417/1028352 |
j-invariant |
L |
3.4513685599419 |
L(r)(E,1)/r! |
Ω |
0.43142104733656 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8034k1 |
Quadratic twists by: 13 |