Atkin-Lehner |
2- 3+ 11+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
35376o |
Isogeny class |
Conductor |
35376 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
434700288 = 216 · 32 · 11 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 11+ 2 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2232,41328] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:224:1] |
Generators of the group modulo torsion |
j |
300359170873/106128 |
j-invariant |
L |
5.4955049920643 |
L(r)(E,1)/r! |
Ω |
1.6422102833728 |
Real period |
R |
1.6732038057809 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4422f1 106128ca1 |
Quadratic twists by: -4 -3 |