Atkin-Lehner |
2- 5- 17- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
103700k |
Isogeny class |
Conductor |
103700 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
48240 |
Modular degree for the optimal curve |
Δ |
6481250000 = 24 · 58 · 17 · 61 |
Discriminant |
Eigenvalues |
2- 0 5- 3 5 1 17- -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-500,-1875] |
[a1,a2,a3,a4,a6] |
j |
2211840/1037 |
j-invariant |
L |
4.2264742515637 |
L(r)(E,1)/r! |
Ω |
1.0566184846463 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103700b1 |
Quadratic twists by: 5 |