Atkin-Lehner |
2- 3+ 5+ 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
108360v |
Isogeny class |
Conductor |
108360 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
58368 |
Modular degree for the optimal curve |
Δ |
10927239120 = 24 · 33 · 5 · 76 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -2 0 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-558,-667] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:31:1] [-2:21:1] |
Generators of the group modulo torsion |
j |
44477724672/25294535 |
j-invariant |
L |
11.373777189949 |
L(r)(E,1)/r! |
Ω |
1.0614590735548 |
Real period |
R |
1.7858715225699 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999990674 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
108360i1 |
Quadratic twists by: -3 |