Atkin-Lehner |
2- 3- 5+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
28050de |
Isogeny class |
Conductor |
28050 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
224640 |
Modular degree for the optimal curve |
Δ |
-5636679143906250 = -1 · 2 · 313 · 57 · 113 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 11+ 4 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,44187,519867] |
[a1,a2,a3,a4,a6] |
j |
610641930681719/360747465210 |
j-invariant |
L |
6.7659684479447 |
L(r)(E,1)/r! |
Ω |
0.26022955569021 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84150ck1 5610h1 |
Quadratic twists by: -3 5 |