Atkin-Lehner |
2- 5+ 7- 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
119350bq |
Isogeny class |
Conductor |
119350 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
307781271875000 = 23 · 58 · 7 · 114 · 312 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- 11+ -6 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-184713,-30559583] |
[a1,a2,a3,a4,a6] |
Generators |
[-252:157:1] |
Generators of the group modulo torsion |
j |
44606301840821449/19698001400 |
j-invariant |
L |
5.9807365408639 |
L(r)(E,1)/r! |
Ω |
0.23029615503328 |
Real period |
R |
2.1641469054554 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009734 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23870a2 |
Quadratic twists by: 5 |