Atkin-Lehner |
2- 3- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
98568t |
Isogeny class |
Conductor |
98568 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
202752 |
Modular degree for the optimal curve |
Δ |
-89779898503728 = -1 · 24 · 37 · 376 |
Discriminant |
Eigenvalues |
2- 3- -2 0 -4 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,8214,-354571] |
[a1,a2,a3,a4,a6] |
Generators |
[185:2738:1] |
Generators of the group modulo torsion |
j |
2048/3 |
j-invariant |
L |
4.8017305708287 |
L(r)(E,1)/r! |
Ω |
0.3200086856226 |
Real period |
R |
1.8756251020872 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999619122 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32856c1 72a1 |
Quadratic twists by: -3 37 |