Atkin-Lehner |
2+ 3- 11- 71- |
Signs for the Atkin-Lehner involutions |
Class |
112464l |
Isogeny class |
Conductor |
112464 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
2236416 |
Modular degree for the optimal curve |
Δ |
1.0543294917049E+20 |
Discriminant |
Eigenvalues |
2+ 3- 1 -3 11- -1 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1450452,-456084308] |
[a1,a2,a3,a4,a6] |
Generators |
[-439:9801:1] [1937:63261:1] |
Generators of the group modulo torsion |
j |
1808282594853182464/564948501642261 |
j-invariant |
L |
11.822300953364 |
L(r)(E,1)/r! |
Ω |
0.14094039278384 |
Real period |
R |
0.99859007952918 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999983909 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56232i1 37488j1 |
Quadratic twists by: -4 -3 |