Atkin-Lehner |
2- 5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
59840ba |
Isogeny class |
Conductor |
59840 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
48640 |
Modular degree for the optimal curve |
Δ |
-109514680000 = -1 · 26 · 54 · 115 · 17 |
Discriminant |
Eigenvalues |
2- -2 5+ 1 11- -2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,589,15139] |
[a1,a2,a3,a4,a6] |
Generators |
[34:275:1] |
Generators of the group modulo torsion |
j |
352494278144/1711166875 |
j-invariant |
L |
4.0802668033197 |
L(r)(E,1)/r! |
Ω |
0.75849314922722 |
Real period |
R |
0.53794379125073 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999749 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59840w1 29920f1 |
Quadratic twists by: -4 8 |