Atkin-Lehner |
2- 5+ 17- 59- |
Signs for the Atkin-Lehner involutions |
Class |
10030k |
Isogeny class |
Conductor |
10030 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
768 |
Modular degree for the optimal curve |
Δ |
-50150 = -1 · 2 · 52 · 17 · 59 |
Discriminant |
Eigenvalues |
2- 1 5+ -2 2 5 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,4,-10] |
[a1,a2,a3,a4,a6] |
j |
6967871/50150 |
j-invariant |
L |
3.5474132520545 |
L(r)(E,1)/r! |
Ω |
1.7737066260272 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80240m1 90270i1 50150h1 |
Quadratic twists by: -4 -3 5 |