Atkin-Lehner |
2- 5+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
86800bm |
Isogeny class |
Conductor |
86800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
497664 |
Modular degree for the optimal curve |
Δ |
-595448000000000 = -1 · 212 · 59 · 74 · 31 |
Discriminant |
Eigenvalues |
2- -3 5+ 7+ -4 2 1 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,800,1174000] |
[a1,a2,a3,a4,a6] |
Generators |
[65:1225:1] |
Generators of the group modulo torsion |
j |
884736/9303875 |
j-invariant |
L |
2.6744968771591 |
L(r)(E,1)/r! |
Ω |
0.40653753395684 |
Real period |
R |
1.6446801707414 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999779975 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5425c1 17360z1 |
Quadratic twists by: -4 5 |