Atkin-Lehner |
2+ 3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
80850cd |
Isogeny class |
Conductor |
80850 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
2032128 |
Modular degree for the optimal curve |
Δ |
-2097378723825000000 = -1 · 26 · 33 · 58 · 710 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11+ -4 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,298874,-29973352] |
[a1,a2,a3,a4,a6] |
Generators |
[397:12101:1] |
Generators of the group modulo torsion |
j |
668944031/475200 |
j-invariant |
L |
5.7993716844746 |
L(r)(E,1)/r! |
Ω |
0.14707550462321 |
Real period |
R |
3.2859378923288 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000651 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16170bp1 80850a1 |
Quadratic twists by: 5 -7 |