Atkin-Lehner |
2+ 3- 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
11970z |
Isogeny class |
Conductor |
11970 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
-248209920 = -1 · 29 · 36 · 5 · 7 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 5 -1 5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,156,80] |
[a1,a2,a3,a4,a6] |
j |
573856191/340480 |
j-invariant |
L |
2.1390959939699 |
L(r)(E,1)/r! |
Ω |
1.0695479969849 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95760ey1 1330h1 59850ep1 83790bp1 |
Quadratic twists by: -4 -3 5 -7 |