Atkin-Lehner |
2- 3- 37- 61- |
Signs for the Atkin-Lehner involutions |
Class |
108336bc |
Isogeny class |
Conductor |
108336 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
70656 |
Modular degree for the optimal curve |
Δ |
1331232768 = 216 · 32 · 37 · 61 |
Discriminant |
Eigenvalues |
2- 3- 4 2 0 -6 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-816,8532] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:765:8] |
Generators of the group modulo torsion |
j |
14688124849/325008 |
j-invariant |
L |
12.608477991761 |
L(r)(E,1)/r! |
Ω |
1.5233602014463 |
Real period |
R |
4.1383771068464 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000202 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13542i1 |
Quadratic twists by: -4 |