Atkin-Lehner |
2+ 3+ 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
11970k |
Isogeny class |
Conductor |
11970 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
Δ |
-205238577600000 = -1 · 29 · 39 · 55 · 73 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -3 -7 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-35164869,-80253512875] |
[a1,a2,a3,a4,a6] |
j |
-244320235433784441003267/10427200000 |
j-invariant |
L |
0.9299584868781 |
L(r)(E,1)/r! |
Ω |
0.03099861622927 |
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 |
95760co2 11970bh1 59850dz2 83790f2 |
Quadratic twists by: -4 -3 5 -7 |