Atkin-Lehner |
2+ 3- 5+ 31- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
114390j |
Isogeny class |
Conductor |
114390 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
6240000 |
Modular degree for the optimal curve |
Δ |
-8.5253061647032E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 3 3 4 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1590570,1173187476] |
[a1,a2,a3,a4,a6] |
Generators |
[-575:8549:1] |
Generators of the group modulo torsion |
j |
610456034096520988319/1169452148793300000 |
j-invariant |
L |
6.1010635647105 |
L(r)(E,1)/r! |
Ω |
0.10905983881696 |
Real period |
R |
2.7971174182131 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000113196 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38130bd1 |
Quadratic twists by: -3 |