Atkin-Lehner |
2+ 3- 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
34056m |
Isogeny class |
Conductor |
34056 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
19200 |
Modular degree for the optimal curve |
Δ |
-2002697136 = -1 · 24 · 37 · 113 · 43 |
Discriminant |
Eigenvalues |
2+ 3- -3 -3 11- 4 -7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,186,-1919] |
[a1,a2,a3,a4,a6] |
Generators |
[8:9:1] [20:-99:1] |
Generators of the group modulo torsion |
j |
61011968/171699 |
j-invariant |
L |
7.0288331773103 |
L(r)(E,1)/r! |
Ω |
0.75697862423547 |
Real period |
R |
0.38689077825725 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68112e1 11352m1 |
Quadratic twists by: -4 -3 |