Atkin-Lehner |
2+ 3- 5- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
11970x |
Isogeny class |
Conductor |
11970 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
-396250321057920 = -1 · 27 · 36 · 5 · 73 · 195 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 1 -1 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-31974,-2392012] |
[a1,a2,a3,a4,a6] |
j |
-4959007166945889/543553252480 |
j-invariant |
L |
1.7741619878636 |
L(r)(E,1)/r! |
Ω |
0.17741619878636 |
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 |
95760fc1 1330g1 59850fm1 83790y1 |
Quadratic twists by: -4 -3 5 -7 |