Atkin-Lehner |
2- 5+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
35600u |
Isogeny class |
Conductor |
35600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
10138880000000 = 214 · 57 · 892 |
Discriminant |
Eigenvalues |
2- -2 5+ -2 -4 -4 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-43408,3463188] |
[a1,a2,a3,a4,a6] |
Generators |
[-238:608:1] [34:1424:1] |
Generators of the group modulo torsion |
j |
141339344329/158420 |
j-invariant |
L |
5.6680488508849 |
L(r)(E,1)/r! |
Ω |
0.72126507987173 |
Real period |
R |
1.9646205705306 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999987 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4450i2 7120i2 |
Quadratic twists by: -4 5 |