Atkin-Lehner |
2+ 5- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
28600k |
Isogeny class |
Conductor |
28600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
44800 |
Modular degree for the optimal curve |
Δ |
639031250000 = 24 · 59 · 112 · 132 |
Discriminant |
Eigenvalues |
2+ -2 5- 4 11+ 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6583,-204162] |
[a1,a2,a3,a4,a6] |
Generators |
[-51:39:1] |
Generators of the group modulo torsion |
j |
1009743872/20449 |
j-invariant |
L |
4.2798419781829 |
L(r)(E,1)/r! |
Ω |
0.53066775943755 |
Real period |
R |
2.0162530613877 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57200w1 28600t1 |
Quadratic twists by: -4 5 |