Atkin-Lehner |
2- 3+ 5- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
19140d |
Isogeny class |
Conductor |
19140 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
6462889955280 = 24 · 38 · 5 · 114 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 11- 6 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9765,353970] |
[a1,a2,a3,a4,a6] |
j |
6436724870742016/403930622205 |
j-invariant |
L |
2.9551591908952 |
L(r)(E,1)/r! |
Ω |
0.73878979772379 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76560cd1 57420g1 95700v1 |
Quadratic twists by: -4 -3 5 |