Atkin-Lehner |
2+ 3- 13- 47- |
Signs for the Atkin-Lehner involutions |
Class |
29328g |
Isogeny class |
Conductor |
29328 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
-1876992 = -1 · 210 · 3 · 13 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 2 1 -3 13- 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,8,68] |
[a1,a2,a3,a4,a6] |
j |
48668/1833 |
j-invariant |
L |
3.9845931226822 |
L(r)(E,1)/r! |
Ω |
1.9922965613412 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14664a1 117312bw1 87984i1 |
Quadratic twists by: -4 8 -3 |