Atkin-Lehner |
2+ 3+ 7+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
86394d |
Isogeny class |
Conductor |
86394 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1071046420263203076 = 22 · 36 · 72 · 1110 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ 11- -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1845494,-964461120] |
[a1,a2,a3,a4,a6] |
Generators |
[-9442811:-8099882:12167] |
Generators of the group modulo torsion |
j |
392379113447076673/604577782116 |
j-invariant |
L |
4.8979135460538 |
L(r)(E,1)/r! |
Ω |
0.12954228506006 |
Real period |
R |
9.4523451295507 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999939167 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
7854m2 |
Quadratic twists by: -11 |