Atkin-Lehner |
2- 3- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
11550cr |
Isogeny class |
Conductor |
11550 |
Conductor |
∏ cp |
243 |
Product of Tamagawa factors cp |
deg |
23328 |
Modular degree for the optimal curve |
Δ |
-32598720000 = -1 · 29 · 33 · 54 · 73 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11+ 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-9638,363492] |
[a1,a2,a3,a4,a6] |
Generators |
[-68:874:1] |
Generators of the group modulo torsion |
j |
-158419003440625/52157952 |
j-invariant |
L |
8.3411755396939 |
L(r)(E,1)/r! |
Ω |
1.1446655052902 |
Real period |
R |
0.26988882426202 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
92400fc1 34650cf1 11550b1 80850ez1 |
Quadratic twists by: -4 -3 5 -7 |