Atkin-Lehner |
2- 5- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
103360cd |
Isogeny class |
Conductor |
103360 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
534164480 = 210 · 5 · 172 · 192 |
Discriminant |
Eigenvalues |
2- 0 5- 2 0 -4 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1952,33176] |
[a1,a2,a3,a4,a6] |
Generators |
[-50:76:1] |
Generators of the group modulo torsion |
j |
803273048064/521645 |
j-invariant |
L |
7.0442490003555 |
L(r)(E,1)/r! |
Ω |
1.6286658728937 |
Real period |
R |
2.1625826132355 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001953 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103360x1 25840r1 |
Quadratic twists by: -4 8 |