Atkin-Lehner |
2+ 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
11830b |
Isogeny class |
Conductor |
11830 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
2695680 |
Modular degree for the optimal curve |
Δ |
-730894726016000 = -1 · 210 · 53 · 7 · 138 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7- 0 13+ -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1681431704,26537784815206] |
[a1,a2,a3,a4,a6] |
j |
-644487634439863642624729/896000 |
j-invariant |
L |
0.92570592620879 |
L(r)(E,1)/r! |
Ω |
0.1542843210348 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
94640bp1 106470fp1 59150bg1 82810bf1 |
Quadratic twists by: -4 -3 5 -7 |