Atkin-Lehner |
2+ 3- 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
37926k |
Isogeny class |
Conductor |
37926 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
-5505034752 = -1 · 29 · 36 · 73 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 1 -2 -4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-387,-4523] |
[a1,a2,a3,a4,a6] |
Generators |
[198:97:8] |
Generators of the group modulo torsion |
j |
-25672375/22016 |
j-invariant |
L |
4.1853757452001 |
L(r)(E,1)/r! |
Ω |
0.51940361515268 |
Real period |
R |
4.0290206143153 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4214e1 37926j1 |
Quadratic twists by: -3 -7 |