Atkin-Lehner |
2- 3- 7- |
Signs for the Atkin-Lehner involutions |
Class |
4704bd |
Isogeny class |
Conductor |
4704 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-433881982464 = -1 · 29 · 3 · 710 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 4 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,768,-30360] |
[a1,a2,a3,a4,a6] |
j |
830584/7203 |
j-invariant |
L |
3.7300726767507 |
L(r)(E,1)/r! |
Ω |
0.46625908459384 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4704u4 9408ce4 14112bb4 117600z2 |
Quadratic twists by: -4 8 -3 5 |