Atkin-Lehner |
2+ 3- 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
37926h |
Isogeny class |
Conductor |
37926 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
134400 |
Modular degree for the optimal curve |
Δ |
-87824679436242 = -1 · 2 · 311 · 78 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ -2 0 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-34407,2506167] |
[a1,a2,a3,a4,a6] |
Generators |
[-159:2064:1] |
Generators of the group modulo torsion |
j |
-1071912625/20898 |
j-invariant |
L |
4.2958070222115 |
L(r)(E,1)/r! |
Ω |
0.60516047263234 |
Real period |
R |
0.59155205058338 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999987 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12642be1 37926v1 |
Quadratic twists by: -3 -7 |