Atkin-Lehner |
2- 3- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
8976bf |
Isogeny class |
Conductor |
8976 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-15086386908561408 = -1 · 216 · 3 · 11 · 178 |
Discriminant |
Eigenvalues |
2- 3- -2 0 11- -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,17216,5850932] |
[a1,a2,a3,a4,a6] |
Generators |
[17652:465290:27] |
Generators of the group modulo torsion |
j |
137763859017023/3683199928848 |
j-invariant |
L |
4.6438490755045 |
L(r)(E,1)/r! |
Ω |
0.29598143831432 |
Real period |
R |
3.9224157956934 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1122e4 35904bt3 26928bc3 98736dc3 |
Quadratic twists by: -4 8 -3 -11 |