Atkin-Lehner |
2+ 3+ 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
80850z |
Isogeny class |
Conductor |
80850 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
574560 |
Modular degree for the optimal curve |
Δ |
-4755960825000000 = -1 · 26 · 3 · 58 · 78 · 11 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 11- 0 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-95575,11807125] |
[a1,a2,a3,a4,a6] |
Generators |
[510:9545:1] |
Generators of the group modulo torsion |
j |
-42876505/2112 |
j-invariant |
L |
3.6821284121131 |
L(r)(E,1)/r! |
Ω |
0.42892867102258 |
Real period |
R |
0.47691540251731 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999887511 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80850fm1 80850db1 |
Quadratic twists by: 5 -7 |