Atkin-Lehner |
2+ 5- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
11270f |
Isogeny class |
Conductor |
11270 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-4461099489280000 = -1 · 214 · 54 · 77 · 232 |
Discriminant |
Eigenvalues |
2+ 0 5- 7- 0 -4 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-43619,4767125] |
[a1,a2,a3,a4,a6] |
Generators |
[-89:2862:1] |
Generators of the group modulo torsion |
j |
-78013216986489/37918720000 |
j-invariant |
L |
3.1912644734991 |
L(r)(E,1)/r! |
Ω |
0.40661635818384 |
Real period |
R |
0.49052141061063 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
90160cw1 101430ee1 56350bm1 1610a1 |
Quadratic twists by: -4 -3 5 -7 |