Atkin-Lehner |
2- 5+ 13- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
65650s |
Isogeny class |
Conductor |
65650 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
2211840 |
Modular degree for the optimal curve |
Δ |
-1.6735225573016E+20 |
Discriminant |
Eigenvalues |
2- -1 5+ 2 -4 13- -7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-393438,-629776469] |
[a1,a2,a3,a4,a6] |
Generators |
[1015:3717:1] |
Generators of the group modulo torsion |
j |
-431054979353746201/10710544366730000 |
j-invariant |
L |
7.2441439702118 |
L(r)(E,1)/r! |
Ω |
0.078511915690694 |
Real period |
R |
1.2815011557503 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999597 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13130a1 |
Quadratic twists by: 5 |