Atkin-Lehner |
2+ 3- 31- |
Signs for the Atkin-Lehner involutions |
Class |
17856bf |
Isogeny class |
Conductor |
17856 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-8965443206052864 = -1 · 210 · 324 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 3 -1 0 -2 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-109956,14754728] |
[a1,a2,a3,a4,a6] |
Generators |
[18545:163323:125] |
Generators of the group modulo torsion |
j |
-196948657599232/12010035159 |
j-invariant |
L |
6.091052275994 |
L(r)(E,1)/r! |
Ω |
0.40534877534834 |
Real period |
R |
7.5133473275694 |
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 |
17856bv1 1116f1 5952k1 |
Quadratic twists by: -4 8 -3 |