Atkin-Lehner |
2- 3+ 5- 47- |
Signs for the Atkin-Lehner involutions |
Class |
33840bh |
Isogeny class |
Conductor |
33840 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
-41582592000 = -1 · 218 · 33 · 53 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 5- 1 6 5 -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3627,-84646] |
[a1,a2,a3,a4,a6] |
j |
-47713652883/376000 |
j-invariant |
L |
3.6894326728144 |
L(r)(E,1)/r! |
Ω |
0.30745272273506 |
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 |
4230w1 33840t2 |
Quadratic twists by: -4 -3 |