Atkin-Lehner |
2+ 3- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
109368k |
Isogeny class |
Conductor |
109368 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-12406704758074368 = -1 · 210 · 37 · 78 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 2 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3675,5359718] |
[a1,a2,a3,a4,a6] |
Generators |
[-89:2232:1] |
Generators of the group modulo torsion |
j |
-62500/141267 |
j-invariant |
L |
7.9088424038978 |
L(r)(E,1)/r! |
Ω |
0.32189897650144 |
Real period |
R |
1.5355831663417 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013461 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36456r2 15624o2 |
Quadratic twists by: -3 -7 |