Atkin-Lehner |
2+ 3- 7+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
37128g |
Isogeny class |
Conductor |
37128 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
21888 |
Modular degree for the optimal curve |
Δ |
3626737296 = 24 · 3 · 7 · 133 · 173 |
Discriminant |
Eigenvalues |
2+ 3- -1 7+ 6 13+ 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-476,2601] |
[a1,a2,a3,a4,a6] |
Generators |
[0:51:1] |
Generators of the group modulo torsion |
j |
747027606784/226671081 |
j-invariant |
L |
6.9275134178246 |
L(r)(E,1)/r! |
Ω |
1.3003915883424 |
Real period |
R |
0.88787529847776 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74256o1 111384bu1 |
Quadratic twists by: -4 -3 |