Atkin-Lehner |
2- 3- 7- 19- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
34314ba |
Isogeny class |
Conductor |
34314 |
Conductor |
∏ cp |
896 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
12089584798728192 = 216 · 37 · 74 · 19 · 432 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -2 -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-180663,29064105] |
[a1,a2,a3,a4,a6] |
Generators |
[-42:-6027:1] |
Generators of the group modulo torsion |
j |
652125999363134640625/12089584798728192 |
j-invariant |
L |
10.650241444013 |
L(r)(E,1)/r! |
Ω |
0.40150187186634 |
Real period |
R |
0.11841967388892 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
102942x1 |
Quadratic twists by: -3 |