Atkin-Lehner |
2- 3- 29- 37- |
Signs for the Atkin-Lehner involutions |
Class |
38628h |
Isogeny class |
Conductor |
38628 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
158400 |
Modular degree for the optimal curve |
Δ |
-2873333500625664 = -1 · 28 · 321 · 29 · 37 |
Discriminant |
Eigenvalues |
2- 3- 3 -1 0 2 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,7224,2568148] |
[a1,a2,a3,a4,a6] |
Generators |
[161210:2814669:1000] |
Generators of the group modulo torsion |
j |
223403220992/15396377211 |
j-invariant |
L |
6.9753378323287 |
L(r)(E,1)/r! |
Ω |
0.34508392607373 |
Real period |
R |
5.053363330836 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12876b1 |
Quadratic twists by: -3 |