Atkin-Lehner |
3+ 11+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
80223a |
Isogeny class |
Conductor |
80223 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
-2787669027 = -1 · 36 · 113 · 132 · 17 |
Discriminant |
Eigenvalues |
0 3+ 2 5 11+ 13+ 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,103,2474] |
[a1,a2,a3,a4,a6] |
Generators |
[26:148:1] |
Generators of the group modulo torsion |
j |
89915392/2094417 |
j-invariant |
L |
6.5834975495581 |
L(r)(E,1)/r! |
Ω |
1.0745111419669 |
Real period |
R |
0.76587125182925 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000355 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80223b1 |
Quadratic twists by: -11 |