Atkin-Lehner |
2+ 3+ 5+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
28050p |
Isogeny class |
Conductor |
28050 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
-8239968000000000 = -1 · 214 · 34 · 59 · 11 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 11- 2 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,39875,3128125] |
[a1,a2,a3,a4,a6] |
Generators |
[175:3850:1] |
Generators of the group modulo torsion |
j |
448733772344879/527357952000 |
j-invariant |
L |
4.278506812212 |
L(r)(E,1)/r! |
Ω |
0.27657520854415 |
Real period |
R |
1.9336995327299 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
84150ew1 5610bl1 |
Quadratic twists by: -3 5 |