Atkin-Lehner |
2- 5- 23- 31- |
Signs for the Atkin-Lehner involutions |
Class |
57040s |
Isogeny class |
Conductor |
57040 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
5507629076480000 = 215 · 54 · 234 · 312 |
Discriminant |
Eigenvalues |
2- 2 5- 0 2 4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-421200,-105014848] |
[a1,a2,a3,a4,a6] |
Generators |
[-376:240:1] |
Generators of the group modulo torsion |
j |
2017575905514670801/1344636005000 |
j-invariant |
L |
10.454621770702 |
L(r)(E,1)/r! |
Ω |
0.18741085926627 |
Real period |
R |
1.7432657403963 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999179 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7130i2 |
Quadratic twists by: -4 |