Atkin-Lehner |
2- 3- 5+ 19+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
34770z |
Isogeny class |
Conductor |
34770 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
deg |
13885440 |
Modular degree for the optimal curve |
Δ |
2.0607053077192E+25 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 -2 -4 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-286731901,-1856014416655] |
[a1,a2,a3,a4,a6] |
Generators |
[-9274:78995:1] |
Generators of the group modulo torsion |
j |
2607064370281542204675937831249/20607053077192316098279680 |
j-invariant |
L |
7.8984394411209 |
L(r)(E,1)/r! |
Ω |
0.036706042025254 |
Real period |
R |
3.3622016828348 |
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 |
104310w1 |
Quadratic twists by: -3 |