Atkin-Lehner |
2+ 3+ 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
37536c |
Isogeny class |
Conductor |
37536 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
17664 |
Modular degree for the optimal curve |
Δ |
1388531712 = 212 · 3 · 173 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -3 -4 -5 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-813,-8475] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:12:1] |
Generators of the group modulo torsion |
j |
14526784000/338997 |
j-invariant |
L |
2.8487141163855 |
L(r)(E,1)/r! |
Ω |
0.89526103066859 |
Real period |
R |
1.5909963791553 |
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 |
37536h1 75072cq1 112608bn1 |
Quadratic twists by: -4 8 -3 |