Atkin-Lehner |
2+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
42350bc |
Isogeny class |
Conductor |
42350 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1172275130468750 = 2 · 58 · 7 · 118 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7- 11- 2 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-222401,40317198] |
[a1,a2,a3,a4,a6] |
Generators |
[-78:7601:1] |
Generators of the group modulo torsion |
j |
43949604889/42350 |
j-invariant |
L |
2.5732178950007 |
L(r)(E,1)/r! |
Ω |
0.48469575716293 |
Real period |
R |
1.3272335568133 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999766 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8470t2 3850p2 |
Quadratic twists by: 5 -11 |