Atkin-Lehner |
3- 17+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
63291l |
Isogeny class |
Conductor |
63291 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
311040 |
Modular degree for the optimal curve |
Δ |
104046849767313 = 310 · 176 · 73 |
Discriminant |
Eigenvalues |
1 3- 4 -2 4 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-23849,-1331881] |
[a1,a2,a3,a4,a6] |
Generators |
[-13155:21887:125] |
Generators of the group modulo torsion |
j |
62146192681/4310577 |
j-invariant |
L |
11.727174929646 |
L(r)(E,1)/r! |
Ω |
0.38585723190439 |
Real period |
R |
6.0785046694495 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000245 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
219c1 |
Quadratic twists by: 17 |