Atkin-Lehner |
2- 3- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
113256bz |
Isogeny class |
Conductor |
113256 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
633600 |
Modular degree for the optimal curve |
Δ |
2080234614002688 = 210 · 36 · 118 · 13 |
Discriminant |
Eigenvalues |
2- 3- 4 -2 11- 13- -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-43923,2781790] |
[a1,a2,a3,a4,a6] |
Generators |
[-1815:62920:27] |
Generators of the group modulo torsion |
j |
58564/13 |
j-invariant |
L |
9.2449195696111 |
L(r)(E,1)/r! |
Ω |
0.43815634577561 |
Real period |
R |
3.5165984658521 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999669698 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12584e1 113256s1 |
Quadratic twists by: -3 -11 |