Atkin-Lehner |
2- 3+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
36822q |
Isogeny class |
Conductor |
36822 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
186624 |
Modular degree for the optimal curve |
Δ |
-1669864149504 = -1 · 29 · 312 · 17 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 3 -4 -6 4 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-23444,-1392811] |
[a1,a2,a3,a4,a6] |
Generators |
[327:4939:1] |
Generators of the group modulo torsion |
j |
-3947415173271577/4625662464 |
j-invariant |
L |
7.3552164679051 |
L(r)(E,1)/r! |
Ω |
0.19289946452022 |
Real period |
R |
2.118321780323 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110466v1 36822k1 |
Quadratic twists by: -3 -19 |