Atkin-Lehner |
2- 3- 17+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
8364c |
Isogeny class |
Conductor |
8364 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
deg |
2376 |
Modular degree for the optimal curve |
Δ |
-219504816 = -1 · 24 · 39 · 17 · 41 |
Discriminant |
Eigenvalues |
2- 3- -3 -1 0 2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,103,624] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:3:1] |
Generators of the group modulo torsion |
j |
7479836672/13719051 |
j-invariant |
L |
4.1228704530539 |
L(r)(E,1)/r! |
Ω |
1.2181705851555 |
Real period |
R |
1.1281590343461 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
33456m1 25092j1 |
Quadratic twists by: -4 -3 |