Atkin-Lehner |
2- 3+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
32856i |
Isogeny class |
Conductor |
32856 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-113550336 = -1 · 210 · 34 · 372 |
Discriminant |
Eigenvalues |
2- 3+ 1 -4 0 2 -7 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-160,988] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:36:1] [-2:36:1] |
Generators of the group modulo torsion |
j |
-325156/81 |
j-invariant |
L |
7.1636874734013 |
L(r)(E,1)/r! |
Ω |
1.7828978594596 |
Real period |
R |
1.00450054323 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999976 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
65712h1 98568d1 32856b1 |
Quadratic twists by: -4 -3 37 |