Atkin-Lehner |
2- 3+ 5+ 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
46530o |
Isogeny class |
Conductor |
46530 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-59784652125000 = -1 · 23 · 39 · 56 · 11 · 472 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 11- -2 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,9367,126577] |
[a1,a2,a3,a4,a6] |
Generators |
[17:530:1] |
Generators of the group modulo torsion |
j |
4618250077077/3037375000 |
j-invariant |
L |
9.9905552418034 |
L(r)(E,1)/r! |
Ω |
0.39112213458894 |
Real period |
R |
4.2572188916234 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999788 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
46530e2 |
Quadratic twists by: -3 |