Atkin-Lehner |
2+ 5+ 17- 83- |
Signs for the Atkin-Lehner involutions |
Class |
112880a |
Isogeny class |
Conductor |
112880 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
318547360000 = 28 · 54 · 172 · 832 |
Discriminant |
Eigenvalues |
2+ 0 5+ -4 0 6 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2863,-52338] |
[a1,a2,a3,a4,a6] |
Generators |
[-72371:173376:2197] |
Generators of the group modulo torsion |
j |
10137895047504/1244325625 |
j-invariant |
L |
5.345099492679 |
L(r)(E,1)/r! |
Ω |
0.65792259631955 |
Real period |
R |
8.1242072066656 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999892079 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
56440b2 |
Quadratic twists by: -4 |