Atkin-Lehner |
2- 3+ 5- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
29640r |
Isogeny class |
Conductor |
29640 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
387072 |
Modular degree for the optimal curve |
Δ |
-762410022345270000 = -1 · 24 · 38 · 54 · 13 · 197 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 -6 13- -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-114860,44640225] |
[a1,a2,a3,a4,a6] |
Generators |
[-220:7695:1] |
Generators of the group modulo torsion |
j |
-10474033205011184896/47650626396579375 |
j-invariant |
L |
4.7831201567767 |
L(r)(E,1)/r! |
Ω |
0.24696315657876 |
Real period |
R |
0.1729263205202 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59280w1 88920k1 |
Quadratic twists by: -4 -3 |