Atkin-Lehner |
2+ 3+ 11- 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
34782c |
Isogeny class |
Conductor |
34782 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
185806969855662276 = 22 · 314 · 112 · 174 · 312 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -4 11- -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-165344,-15546900] |
[a1,a2,a3,a4,a6] |
Generators |
[-7746:82028:27] |
Generators of the group modulo torsion |
j |
499911509656300006153/185806969855662276 |
j-invariant |
L |
3.2750457822997 |
L(r)(E,1)/r! |
Ω |
0.24418924894574 |
Real period |
R |
6.7059581788283 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
104346bw2 |
Quadratic twists by: -3 |