Atkin-Lehner |
2- 3+ 7+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
67536bb |
Isogeny class |
Conductor |
67536 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
-69271877808 = -1 · 24 · 39 · 72 · 672 |
Discriminant |
Eigenvalues |
2- 3+ -4 7+ -2 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4212,105975] |
[a1,a2,a3,a4,a6] |
Generators |
[33:54:1] [37:28:1] |
Generators of the group modulo torsion |
j |
-26240827392/219961 |
j-invariant |
L |
7.85749676508 |
L(r)(E,1)/r! |
Ω |
1.102559648652 |
Real period |
R |
3.5632978109969 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000012 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16884f1 67536ba1 |
Quadratic twists by: -4 -3 |