Atkin-Lehner |
2+ 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
11830c |
Isogeny class |
Conductor |
11830 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
-195928460 = -1 · 22 · 5 · 73 · 134 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7- 0 13+ -3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-4,-674] |
[a1,a2,a3,a4,a6] |
j |
-169/6860 |
j-invariant |
L |
1.6329229637861 |
L(r)(E,1)/r! |
Ω |
0.81646148189306 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
94640br1 106470fq1 59150bh1 82810bg1 |
Quadratic twists by: -4 -3 5 -7 |