Atkin-Lehner |
2+ 5- 7+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
119350s |
Isogeny class |
Conductor |
119350 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
1204050748862500000 = 25 · 58 · 710 · 11 · 31 |
Discriminant |
Eigenvalues |
2+ 1 5- 7+ 11- -4 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-42228201,105617881548] |
[a1,a2,a3,a4,a6] |
Generators |
[78654:2271622:27] [3702:3411:1] |
Generators of the group modulo torsion |
j |
21319224497038901515945/3082369917088 |
j-invariant |
L |
9.9284221736394 |
L(r)(E,1)/r! |
Ω |
0.21356241749733 |
Real period |
R |
7.7482594907342 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000004243 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119350bv1 |
Quadratic twists by: 5 |