Atkin-Lehner |
2- 3+ 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
37536s |
Isogeny class |
Conductor |
37536 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
14592 |
Modular degree for the optimal curve |
Δ |
43241472 = 212 · 33 · 17 · 23 |
Discriminant |
Eigenvalues |
2- 3+ -4 -1 0 3 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-205,-1019] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:4:1] |
Generators of the group modulo torsion |
j |
233744896/10557 |
j-invariant |
L |
2.7375856001791 |
L(r)(E,1)/r! |
Ω |
1.2647268695028 |
Real period |
R |
1.0822833238507 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37536bd1 75072dd1 112608k1 |
Quadratic twists by: -4 8 -3 |