Atkin-Lehner |
2+ 3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
80850t |
Isogeny class |
Conductor |
80850 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
-1027287538200 = -1 · 23 · 34 · 52 · 78 · 11 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 11- -3 -6 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,220,48840] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:221:1] |
Generators of the group modulo torsion |
j |
397535/349272 |
j-invariant |
L |
2.7790068806208 |
L(r)(E,1)/r! |
Ω |
0.68421873033333 |
Real period |
R |
1.0153941842095 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000932 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80850hi1 11550w1 |
Quadratic twists by: 5 -7 |