Atkin-Lehner |
5+ 7- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
80465d |
Isogeny class |
Conductor |
80465 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
212485132475 = 52 · 72 · 113 · 194 |
Discriminant |
Eigenvalues |
-1 -2 5+ 7- 11+ 6 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2461,-41634] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:79:1] |
Generators of the group modulo torsion |
j |
1238487213419/159643225 |
j-invariant |
L |
2.2426212298636 |
L(r)(E,1)/r! |
Ω |
0.68358595339479 |
Real period |
R |
0.41008398824451 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999877603 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
80465a2 |
Quadratic twists by: -11 |