Atkin-Lehner |
2+ 3- 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
85800ba |
Isogeny class |
Conductor |
85800 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
362784563856000000 = 210 · 38 · 56 · 112 · 134 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11- 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-178608,-2141712] |
[a1,a2,a3,a4,a6] |
Generators |
[-372:3600:1] |
Generators of the group modulo torsion |
j |
39383007958948/22674035241 |
j-invariant |
L |
8.2711029999564 |
L(r)(E,1)/r! |
Ω |
0.25276725870803 |
Real period |
R |
2.0451380473008 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999922926 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
3432g3 |
Quadratic twists by: 5 |