Atkin-Lehner |
2- 5- 7- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
117040cp |
Isogeny class |
Conductor |
117040 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
449555321600000000 = 214 · 58 · 72 · 11 · 194 |
Discriminant |
Eigenvalues |
2- 0 5- 7- 11- -6 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-259187,-39228366] |
[a1,a2,a3,a4,a6] |
Generators |
[-177:1050:1] |
Generators of the group modulo torsion |
j |
470114242698209481/109754717187500 |
j-invariant |
L |
6.7185356632442 |
L(r)(E,1)/r! |
Ω |
0.21515594926633 |
Real period |
R |
1.9516470905423 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999179407 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14630j3 |
Quadratic twists by: -4 |