Atkin-Lehner |
2- 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
112112bu |
Isogeny class |
Conductor |
112112 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
5806080 |
Modular degree for the optimal curve |
Δ |
-8.9852426575947E+20 |
Discriminant |
Eigenvalues |
2- 2 1 7- 11- 13- -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12450965,16975889309] |
[a1,a2,a3,a4,a6] |
Generators |
[-380:147147:1] |
Generators of the group modulo torsion |
j |
-442980486619070464/1864582578859 |
j-invariant |
L |
11.200940956803 |
L(r)(E,1)/r! |
Ω |
0.15833544208958 |
Real period |
R |
0.88427303306628 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000024397 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7007b1 16016l1 |
Quadratic twists by: -4 -7 |