Atkin-Lehner |
2- 3- 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
37536v |
Isogeny class |
Conductor |
37536 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
4352 |
Modular degree for the optimal curve |
Δ |
-600576 = -1 · 29 · 3 · 17 · 23 |
Discriminant |
Eigenvalues |
2- 3- 1 2 0 -4 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-40,92] |
[a1,a2,a3,a4,a6] |
Generators |
[26:21:8] |
Generators of the group modulo torsion |
j |
-14172488/1173 |
j-invariant |
L |
7.9838324332446 |
L(r)(E,1)/r! |
Ω |
2.8382714296195 |
Real period |
R |
2.8129206917733 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999986 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37536e1 75072c1 112608s1 |
Quadratic twists by: -4 8 -3 |