Atkin-Lehner |
2- 3- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
67518bt |
Isogeny class |
Conductor |
67518 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
75264 |
Modular degree for the optimal curve |
Δ |
-134405111808 = -1 · 214 · 37 · 112 · 31 |
Discriminant |
Eigenvalues |
2- 3- -2 -2 11- -4 -7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2201,44025] |
[a1,a2,a3,a4,a6] |
Generators |
[-49:204:1] [23:-84:1] |
Generators of the group modulo torsion |
j |
-13362445393/1523712 |
j-invariant |
L |
12.783700645267 |
L(r)(E,1)/r! |
Ω |
1.0095288564077 |
Real period |
R |
0.22612564981797 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000013 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22506e1 67518n1 |
Quadratic twists by: -3 -11 |