Atkin-Lehner |
2+ 3- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
41616ba |
Isogeny class |
Conductor |
41616 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-18608707815918336 = -1 · 28 · 311 · 177 |
Discriminant |
Eigenvalues |
2+ 3- -3 -4 -1 -5 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-45084,7526716] |
[a1,a2,a3,a4,a6] |
Generators |
[17:2601:1] [185:2349:1] |
Generators of the group modulo torsion |
j |
-2249728/4131 |
j-invariant |
L |
6.7502582924267 |
L(r)(E,1)/r! |
Ω |
0.34556813912121 |
Real period |
R |
1.2208623872259 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999986 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20808bg1 13872n1 2448e1 |
Quadratic twists by: -4 -3 17 |