Atkin-Lehner |
3+ 7- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
83391i |
Isogeny class |
Conductor |
83391 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
824492096234037 = 32 · 7 · 114 · 197 |
Discriminant |
Eigenvalues |
-1 3+ -2 7- 11+ 2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2305534,1346466182] |
[a1,a2,a3,a4,a6] |
Generators |
[644:11049:1] |
Generators of the group modulo torsion |
j |
28808239025774377/17525277 |
j-invariant |
L |
3.1229412760526 |
L(r)(E,1)/r! |
Ω |
0.41378808502548 |
Real period |
R |
1.8867999081967 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999766145 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4389i3 |
Quadratic twists by: -19 |