Atkin-Lehner |
2+ 3- 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
80850cw |
Isogeny class |
Conductor |
80850 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1008000 |
Modular degree for the optimal curve |
Δ |
-837049105200000000 = -1 · 210 · 3 · 58 · 78 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 11- 1 -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,33049,43960298] |
[a1,a2,a3,a4,a6] |
j |
1772855/371712 |
j-invariant |
L |
2.613435723775 |
L(r)(E,1)/r! |
Ω |
0.21778631367254 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80850dt1 80850bj1 |
Quadratic twists by: 5 -7 |