Atkin-Lehner |
2+ 3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
19992r |
Isogeny class |
Conductor |
19992 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
207277056 = 210 · 35 · 72 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 3 7- -4 -3 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-184,608] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:36:1] |
Generators of the group modulo torsion |
j |
13805092/4131 |
j-invariant |
L |
7.2506921250349 |
L(r)(E,1)/r! |
Ω |
1.6520852477764 |
Real period |
R |
0.43888123417322 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39984g1 59976bt1 19992a1 |
Quadratic twists by: -4 -3 -7 |