Atkin-Lehner |
2- 5- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
28600u |
Isogeny class |
Conductor |
28600 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
157300000000 = 28 · 58 · 112 · 13 |
Discriminant |
Eigenvalues |
2- -1 5- -2 11+ 13- -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-14833,700037] |
[a1,a2,a3,a4,a6] |
Generators |
[-133:550:1] [67:50:1] |
Generators of the group modulo torsion |
j |
3609441280/1573 |
j-invariant |
L |
6.5644098441527 |
L(r)(E,1)/r! |
Ω |
1.0084006321264 |
Real period |
R |
0.54247700393236 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57200v1 28600a1 |
Quadratic twists by: -4 5 |