Atkin-Lehner |
2- 3- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
34272bd |
Isogeny class |
Conductor |
34272 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
345600 |
Modular degree for the optimal curve |
Δ |
-25914503010816 = -1 · 29 · 311 · 75 · 17 |
Discriminant |
Eigenvalues |
2- 3- 1 7+ -5 -5 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1391547,-631822322] |
[a1,a2,a3,a4,a6] |
Generators |
[35140357637:-499303933398:24137569] |
Generators of the group modulo torsion |
j |
-798398773180392392/69429717 |
j-invariant |
L |
4.7839945213339 |
L(r)(E,1)/r! |
Ω |
0.06950164549499 |
Real period |
R |
17.208205961393 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34272p1 68544bc1 11424f1 |
Quadratic twists by: -4 8 -3 |