Atkin-Lehner |
2+ 3- 5+ 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
28710h |
Isogeny class |
Conductor |
28710 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
64000 |
Modular degree for the optimal curve |
Δ |
-5650989300000 = -1 · 25 · 311 · 55 · 11 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 11+ -6 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1980,-118800] |
[a1,a2,a3,a4,a6] |
Generators |
[123:1158:1] |
Generators of the group modulo torsion |
j |
-1177918188481/7751700000 |
j-invariant |
L |
2.5252715759003 |
L(r)(E,1)/r! |
Ω |
0.318579871125 |
Real period |
R |
3.9633256912667 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9570bd1 |
Quadratic twists by: -3 |