Atkin-Lehner |
2+ 3- 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
11256b |
Isogeny class |
Conductor |
11256 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
704 |
Modular degree for the optimal curve |
Δ |
-22512 = -1 · 24 · 3 · 7 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- -3 5 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8,9] |
[a1,a2,a3,a4,a6] |
Generators |
[0:3:1] |
Generators of the group modulo torsion |
j |
-4000000/1407 |
j-invariant |
L |
5.7723310868762 |
L(r)(E,1)/r! |
Ω |
3.5901479814435 |
Real period |
R |
0.80391269617741 |
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 |
22512b1 90048m1 33768t1 78792b1 |
Quadratic twists by: -4 8 -3 -7 |