Atkin-Lehner |
2- 3+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
55488df |
Isogeny class |
Conductor |
55488 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
411264 |
Modular degree for the optimal curve |
Δ |
-15622125080030208 = -1 · 210 · 37 · 178 |
Discriminant |
Eigenvalues |
2- 3+ -2 -1 0 3 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-288229,-59766827] |
[a1,a2,a3,a4,a6] |
Generators |
[930831:11920672:1331] |
Generators of the group modulo torsion |
j |
-370720768/2187 |
j-invariant |
L |
4.4750204408778 |
L(r)(E,1)/r! |
Ω |
0.10298687092002 |
Real period |
R |
7.2420565212603 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999432 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55488by1 13872bq1 55488dq1 |
Quadratic twists by: -4 8 17 |