Atkin-Lehner |
2- 3+ 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
103200bo |
Isogeny class |
Conductor |
103200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-162502848000000 = -1 · 212 · 310 · 56 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 -1 -3 -3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10333,738037] |
[a1,a2,a3,a4,a6] |
Generators |
[-89:972:1] [87:700:1] |
Generators of the group modulo torsion |
j |
-1906624000/2539107 |
j-invariant |
L |
10.225131341875 |
L(r)(E,1)/r! |
Ω |
0.51829717912059 |
Real period |
R |
2.4660396955341 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999995275 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103200bb1 4128e1 |
Quadratic twists by: -4 5 |