Atkin-Lehner |
2- 3- 5- 11+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
46530bd |
Isogeny class |
Conductor |
46530 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-33890149663959600 = -1 · 24 · 320 · 52 · 11 · 472 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 11+ -2 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-87917,-13361659] |
[a1,a2,a3,a4,a6] |
Generators |
[4761:325444:1] |
Generators of the group modulo torsion |
j |
-103088479321279369/46488545492400 |
j-invariant |
L |
9.02405404687 |
L(r)(E,1)/r! |
Ω |
0.13567184070759 |
Real period |
R |
4.1571145123956 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15510f2 |
Quadratic twists by: -3 |