Atkin-Lehner |
2- 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
30800bb |
Isogeny class |
Conductor |
30800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
13440 |
Modular degree for the optimal curve |
Δ |
-2156000000 = -1 · 28 · 56 · 72 · 11 |
Discriminant |
Eigenvalues |
2- -1 5+ 7+ 11+ 4 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-533,-5063] |
[a1,a2,a3,a4,a6] |
j |
-4194304/539 |
j-invariant |
L |
1.972761197833 |
L(r)(E,1)/r! |
Ω |
0.49319029945833 |
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 |
7700h1 123200em1 1232g1 |
Quadratic twists by: -4 8 5 |