Atkin-Lehner |
2- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
67760cg |
Isogeny class |
Conductor |
67760 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
416459589369528320 = 216 · 5 · 72 · 1110 |
Discriminant |
Eigenvalues |
2- 0 5- 7- 11- 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-40480187,-99131541014] |
[a1,a2,a3,a4,a6] |
Generators |
[-115896177380:1629832869:31554496] |
Generators of the group modulo torsion |
j |
1010962818911303721/57392720 |
j-invariant |
L |
7.3424670739564 |
L(r)(E,1)/r! |
Ω |
0.059853414180909 |
Real period |
R |
15.334269513482 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999988281 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8470ba4 6160j4 |
Quadratic twists by: -4 -11 |