Atkin-Lehner |
2+ 3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
80850y |
Isogeny class |
Conductor |
80850 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-159173437500 = -1 · 22 · 33 · 58 · 73 · 11 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 11- -6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,500,-18500] |
[a1,a2,a3,a4,a6] |
Generators |
[45:290:1] |
Generators of the group modulo torsion |
j |
2571353/29700 |
j-invariant |
L |
3.5324423342174 |
L(r)(E,1)/r! |
Ω |
0.50334490397325 |
Real period |
R |
1.7544840069271 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999950746 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16170cg1 80850cs1 |
Quadratic twists by: 5 -7 |