Atkin-Lehner |
2- 3- 5- 47- |
Signs for the Atkin-Lehner involutions |
Class |
8460j |
Isogeny class |
Conductor |
8460 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
-1184129280 = -1 · 28 · 39 · 5 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 0 1 1 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,33,1654] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:18:1] |
Generators of the group modulo torsion |
j |
21296/6345 |
j-invariant |
L |
4.4773017092869 |
L(r)(E,1)/r! |
Ω |
1.1934743691821 |
Real period |
R |
1.8757427159309 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33840cc1 2820d1 42300k1 |
Quadratic twists by: -4 -3 5 |