Atkin-Lehner |
2+ 3+ 11- 53- |
Signs for the Atkin-Lehner involutions |
Class |
115434j |
Isogeny class |
Conductor |
115434 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
4354560 |
Modular degree for the optimal curve |
Δ |
1.7652725463475E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -4 11- 0 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1963671,1040156189] |
[a1,a2,a3,a4,a6] |
Generators |
[443:15811:1] |
Generators of the group modulo torsion |
j |
24015001179051/506249216 |
j-invariant |
L |
3.2538950329515 |
L(r)(E,1)/r! |
Ω |
0.21850868682384 |
Real period |
R |
1.8614219925929 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000957 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
115434bf1 10494c1 |
Quadratic twists by: -3 -11 |