Atkin-Lehner |
3- 7+ 19- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
86583s |
Isogeny class |
Conductor |
86583 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
225792 |
Modular degree for the optimal curve |
Δ |
-341988120240291 = -1 · 32 · 78 · 193 · 312 |
Discriminant |
Eigenvalues |
-1 3- 1 7+ -3 0 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,13670,643943] |
[a1,a2,a3,a4,a6] |
Generators |
[1229:42677:1] |
Generators of the group modulo torsion |
j |
49005288479/59323491 |
j-invariant |
L |
4.4637146800173 |
L(r)(E,1)/r! |
Ω |
0.36136444965136 |
Real period |
R |
0.34312194956772 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999980712 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86583i1 |
Quadratic twists by: -7 |