Atkin-Lehner |
2+ 3+ 11- 67- |
Signs for the Atkin-Lehner involutions |
Class |
35376d |
Isogeny class |
Conductor |
35376 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
-5094144 = -1 · 28 · 33 · 11 · 67 |
Discriminant |
Eigenvalues |
2+ 3+ -1 3 11- 1 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1,109] |
[a1,a2,a3,a4,a6] |
Generators |
[12:41:1] |
Generators of the group modulo torsion |
j |
-1024/19899 |
j-invariant |
L |
5.2545545086084 |
L(r)(E,1)/r! |
Ω |
1.9374322393507 |
Real period |
R |
2.7121229851987 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17688i1 106128j1 |
Quadratic twists by: -4 -3 |