Atkin-Lehner |
2- 3- 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
38220bc |
Isogeny class |
Conductor |
38220 |
Conductor |
∏ cp |
243 |
Product of Tamagawa factors cp |
deg |
244944 |
Modular degree for the optimal curve |
Δ |
-683924461038000 = -1 · 24 · 33 · 53 · 78 · 133 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -3 13- -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-246045,46910268] |
[a1,a2,a3,a4,a6] |
Generators |
[-229:9555:1] |
Generators of the group modulo torsion |
j |
-17859315367936/7414875 |
j-invariant |
L |
7.5299966471042 |
L(r)(E,1)/r! |
Ω |
0.50132623998698 |
Real period |
R |
0.55630194963413 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
114660r1 38220e1 |
Quadratic twists by: -3 -7 |