Atkin-Lehner |
2+ 3+ 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
111720l |
Isogeny class |
Conductor |
111720 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
-12065760000 = -1 · 28 · 34 · 54 · 72 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -5 6 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,495,2997] |
[a1,a2,a3,a4,a6] |
Generators |
[9:-90:1] |
Generators of the group modulo torsion |
j |
1067150336/961875 |
j-invariant |
L |
6.2721725247273 |
L(r)(E,1)/r! |
Ω |
0.82802066753641 |
Real period |
R |
0.23671557862374 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999984403 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111720s1 |
Quadratic twists by: -7 |