Atkin-Lehner |
2- 5+ 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
52030t |
Isogeny class |
Conductor |
52030 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-3047084920 = -1 · 23 · 5 · 116 · 43 |
Discriminant |
Eigenvalues |
2- 0 5+ -1 11- 1 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2443,-45933] |
[a1,a2,a3,a4,a6] |
j |
-909853209/1720 |
j-invariant |
L |
2.0370637986239 |
L(r)(E,1)/r! |
Ω |
0.33951063317591 |
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 |
430a1 |
Quadratic twists by: -11 |