Atkin-Lehner |
2- 3- 5+ 11- 53- |
Signs for the Atkin-Lehner involutions |
Class |
52470bd |
Isogeny class |
Conductor |
52470 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
7919075742187500 = 22 · 38 · 510 · 11 · 532 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 11- -4 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-50063,519531] |
[a1,a2,a3,a4,a6] |
Generators |
[491:9456:1] |
Generators of the group modulo torsion |
j |
19034376867801001/10862929687500 |
j-invariant |
L |
7.0173331622115 |
L(r)(E,1)/r! |
Ω |
0.35638980637229 |
Real period |
R |
4.9225125387068 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000103 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17490c2 |
Quadratic twists by: -3 |