Atkin-Lehner |
3- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
17787m |
Isogeny class |
Conductor |
17787 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
58800 |
Modular degree for the optimal curve |
Δ |
-30638089873083 = -1 · 3 · 78 · 116 |
Discriminant |
Eigenvalues |
-2 3- -2 7+ 11- -1 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-13834,-685184] |
[a1,a2,a3,a4,a6] |
Generators |
[898:26680:1] |
Generators of the group modulo torsion |
j |
-28672/3 |
j-invariant |
L |
2.4708616064397 |
L(r)(E,1)/r! |
Ω |
0.21881043165346 |
Real period |
R |
1.8820412931324 |
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 |
53361u1 17787k1 147b1 |
Quadratic twists by: -3 -7 -11 |