Atkin-Lehner |
2- 3- 5+ 17+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
113220d |
Isogeny class |
Conductor |
113220 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
2108160 |
Modular degree for the optimal curve |
Δ |
-2.3842629262098E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 -1 -2 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-166008,-236366332] |
[a1,a2,a3,a4,a6] |
Generators |
[6496:522306:1] |
Generators of the group modulo torsion |
j |
-2711085852368896/127757572777875 |
j-invariant |
L |
7.3324077752886 |
L(r)(E,1)/r! |
Ω |
0.093395590023958 |
Real period |
R |
6.5424285801217 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000062909 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37740e1 |
Quadratic twists by: -3 |