Atkin-Lehner |
2- 23+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
37168f |
Isogeny class |
Conductor |
37168 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
20544 |
Modular degree for the optimal curve |
Δ |
-437690368 = -1 · 213 · 232 · 101 |
Discriminant |
Eigenvalues |
2- -2 -2 -5 6 2 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,96,-908] |
[a1,a2,a3,a4,a6] |
Generators |
[12:-46:1] |
Generators of the group modulo torsion |
j |
23639903/106858 |
j-invariant |
L |
2.4941408870045 |
L(r)(E,1)/r! |
Ω |
0.84446777439706 |
Real period |
R |
0.73837657357176 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4646b1 |
Quadratic twists by: -4 |