Atkin-Lehner |
2- 3+ 7- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
34608r |
Isogeny class |
Conductor |
34608 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
67584 |
Modular degree for the optimal curve |
Δ |
-446712311808 = -1 · 212 · 32 · 76 · 103 |
Discriminant |
Eigenvalues |
2- 3+ -4 7- 2 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1520,39936] |
[a1,a2,a3,a4,a6] |
Generators |
[50:-294:1] |
Generators of the group modulo torsion |
j |
-94881210481/109060623 |
j-invariant |
L |
3.4625933498501 |
L(r)(E,1)/r! |
Ω |
0.85128839510441 |
Real period |
R |
0.33895616042732 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2163a1 103824ch1 |
Quadratic twists by: -4 -3 |