Atkin-Lehner |
2+ 3- 5+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
11970r |
Isogeny class |
Conductor |
11970 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
90472515840 = 28 · 312 · 5 · 7 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -4 6 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-90945,-10533699] |
[a1,a2,a3,a4,a6] |
j |
114113060120923921/124104960 |
j-invariant |
L |
1.0996757387597 |
L(r)(E,1)/r! |
Ω |
0.27491893468993 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
95760ea1 3990bb1 59850fh1 83790cn1 |
Quadratic twists by: -4 -3 5 -7 |