Atkin-Lehner |
2- 3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
80850eg |
Isogeny class |
Conductor |
80850 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
432000 |
Modular degree for the optimal curve |
Δ |
-61134091048800 = -1 · 25 · 310 · 52 · 76 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 11- 1 -8 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-28323,-1884639] |
[a1,a2,a3,a4,a6] |
j |
-854307420745/20785248 |
j-invariant |
L |
3.6748551839546 |
L(r)(E,1)/r! |
Ω |
0.18374275693961 |
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 |
80850dc2 1650r1 |
Quadratic twists by: 5 -7 |