Atkin-Lehner |
2- 3- 13+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
110448bi |
Isogeny class |
Conductor |
110448 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2709504 |
Modular degree for the optimal curve |
Δ |
-1.3868780260851E+19 |
Discriminant |
Eigenvalues |
2- 3- -3 0 -5 13+ -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1740099,-901490366] |
[a1,a2,a3,a4,a6] |
Generators |
[4175:254178:1] |
Generators of the group modulo torsion |
j |
-195145305494895937/4644626448384 |
j-invariant |
L |
2.515383660294 |
L(r)(E,1)/r! |
Ω |
0.065631905355091 |
Real period |
R |
4.7907029082017 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999262555 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13806d1 36816r1 |
Quadratic twists by: -4 -3 |