Atkin-Lehner |
2+ 3+ 5+ 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
38280d |
Isogeny class |
Conductor |
38280 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
70656 |
Modular degree for the optimal curve |
Δ |
-1966544276400 = -1 · 24 · 312 · 52 · 11 · 292 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 11- -4 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1869,59256] |
[a1,a2,a3,a4,a6] |
Generators |
[56:580:1] |
Generators of the group modulo torsion |
j |
45102357764096/122909017275 |
j-invariant |
L |
4.8130187473688 |
L(r)(E,1)/r! |
Ω |
0.58234416618811 |
Real period |
R |
2.0662260510285 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76560j1 114840bb1 |
Quadratic twists by: -4 -3 |