Atkin-Lehner |
2- 3- 5+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
28050dd |
Isogeny class |
Conductor |
28050 |
Conductor |
∏ cp |
88 |
Product of Tamagawa factors cp |
deg |
337920 |
Modular degree for the optimal curve |
Δ |
15625420800000000 = 222 · 3 · 58 · 11 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 11+ 4 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-290563,-60008383] |
[a1,a2,a3,a4,a6] |
j |
173629978755828841/1000026931200 |
j-invariant |
L |
4.5254605159237 |
L(r)(E,1)/r! |
Ω |
0.2057027507238 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
84150cj1 5610g1 |
Quadratic twists by: -3 5 |