Atkin-Lehner |
2- 5+ 23+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
17020a |
Isogeny class |
Conductor |
17020 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
6624 |
Modular degree for the optimal curve |
Δ |
-7871750000 = -1 · 24 · 56 · 23 · 372 |
Discriminant |
Eigenvalues |
2- -1 5+ -2 -2 -1 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-46,-4255] |
[a1,a2,a3,a4,a6] |
Generators |
[19:37:1] [28:125:1] |
Generators of the group modulo torsion |
j |
-687518464/491984375 |
j-invariant |
L |
5.4461891609727 |
L(r)(E,1)/r! |
Ω |
0.59211128789252 |
Real period |
R |
0.76649289758195 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68080n1 85100f1 |
Quadratic twists by: -4 5 |