Atkin-Lehner |
2- 3+ 5+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
8850w |
Isogeny class |
Conductor |
8850 |
Conductor |
∏ cp |
140 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-2895443410950000000 = -1 · 27 · 34 · 58 · 595 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 -5 3 -1 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-27588,81875781] |
[a1,a2,a3,a4,a6] |
Generators |
[475:13037:1] |
Generators of the group modulo torsion |
j |
-148615915769209/185308378300800 |
j-invariant |
L |
5.2435658567114 |
L(r)(E,1)/r! |
Ω |
0.20489719392218 |
Real period |
R |
0.18279431317091 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70800ch1 26550j1 1770c1 |
Quadratic twists by: -4 -3 5 |