Atkin-Lehner |
2- 3+ 29+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
42456h |
Isogeny class |
Conductor |
42456 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
11648 |
Modular degree for the optimal curve |
Δ |
-61900848 = -1 · 24 · 37 · 29 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 0 -2 -6 5 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,57,-360] |
[a1,a2,a3,a4,a6] |
Generators |
[5:5:1] |
Generators of the group modulo torsion |
j |
1257728000/3868803 |
j-invariant |
L |
4.1257757717549 |
L(r)(E,1)/r! |
Ω |
1.007797250499 |
Real period |
R |
2.0469274795643 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84912g1 127368c1 |
Quadratic twists by: -4 -3 |