Atkin-Lehner |
2- 3- 5- 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
116820ba |
Isogeny class |
Conductor |
116820 |
Conductor |
∏ cp |
1152 |
Product of Tamagawa factors cp |
deg |
8404992 |
Modular degree for the optimal curve |
Δ |
-7.4215081472168E+22 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 11- -2 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,10384008,2432123201] |
[a1,a2,a3,a4,a6] |
Generators |
[-208:16225:1] [9142:928125:1] |
Generators of the group modulo torsion |
j |
10616252595815705870336/6362747039794921875 |
j-invariant |
L |
12.326275796165 |
L(r)(E,1)/r! |
Ω |
0.066771007634312 |
Real period |
R |
0.64099030789426 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999987752 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38940a1 |
Quadratic twists by: -3 |