Atkin-Lehner |
3+ 7- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
73689m |
Isogeny class |
Conductor |
73689 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
4694492112676562889 = 312 · 72 · 118 · 292 |
Discriminant |
Eigenvalues |
1 3+ -2 7- 11- -2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-65656901,-204798442680] |
[a1,a2,a3,a4,a6] |
Generators |
[-27720120419908096038557348703397820:13189925939435102849913609280596142:5923590803360672592789397914875] |
Generators of the group modulo torsion |
j |
17668869054438249282097/2649918412449 |
j-invariant |
L |
4.6610893810842 |
L(r)(E,1)/r! |
Ω |
0.053037062543293 |
Real period |
R |
43.941813134625 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999959464 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
6699d2 |
Quadratic twists by: -11 |