Atkin-Lehner |
2- 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
3234t |
Isogeny class |
Conductor |
3234 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
7764834 = 2 · 3 · 76 · 11 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 11+ 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-17249,870519] |
[a1,a2,a3,a4,a6] |
j |
4824238966273/66 |
j-invariant |
L |
3.3171064896445 |
L(r)(E,1)/r! |
Ω |
1.6585532448223 |
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 |
25872by4 103488by4 9702x3 80850o4 |
Quadratic twists by: -4 8 -3 5 |