Atkin-Lehner |
2- 7+ 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
116242r |
Isogeny class |
Conductor |
116242 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
7776000 |
Modular degree for the optimal curve |
Δ |
-9.410474521068E+20 |
Discriminant |
Eigenvalues |
2- 1 -1 7+ 0 -3 5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-35505621,81442168289] |
[a1,a2,a3,a4,a6] |
Generators |
[93720:83461:27] |
Generators of the group modulo torsion |
j |
-105218824605397613209/20002759691264 |
j-invariant |
L |
10.651154530518 |
L(r)(E,1)/r! |
Ω |
0.15233308441831 |
Real period |
R |
1.7480041476705 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999952041 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6118a1 |
Quadratic twists by: -19 |