Atkin-Lehner |
2+ 5- 19- 37- |
Signs for the Atkin-Lehner involutions |
Class |
28120c |
Isogeny class |
Conductor |
28120 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
5632 |
Modular degree for the optimal curve |
Δ |
85484800 = 28 · 52 · 192 · 37 |
Discriminant |
Eigenvalues |
2+ -1 5- -1 -3 -4 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-185,925] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:10:1] [-3:38:1] |
Generators of the group modulo torsion |
j |
2750073856/333925 |
j-invariant |
L |
6.927477987047 |
L(r)(E,1)/r! |
Ω |
1.8511288555822 |
Real period |
R |
0.23389369836943 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999987 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56240e1 |
Quadratic twists by: -4 |