Atkin-Lehner |
2- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
34496cf |
Isogeny class |
Conductor |
34496 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1416038158755168256 = 224 · 78 · 114 |
Discriminant |
Eigenvalues |
2- 0 2 7- 11+ 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1015084,-389455920] |
[a1,a2,a3,a4,a6] |
Generators |
[341902818577810:-57843233188263936:11930499125] |
Generators of the group modulo torsion |
j |
3750606459153/45914176 |
j-invariant |
L |
6.2274568177752 |
L(r)(E,1)/r! |
Ω |
0.15052046557296 |
Real period |
R |
20.686412289752 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
34496bd2 8624w2 4928bb2 |
Quadratic twists by: -4 8 -7 |