Atkin-Lehner |
2+ 3+ 5- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
28050s |
Isogeny class |
Conductor |
28050 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
88000 |
Modular degree for the optimal curve |
Δ |
-32084378906250 = -1 · 2 · 3 · 59 · 115 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -3 11- -4 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,550,-272250] |
[a1,a2,a3,a4,a6] |
Generators |
[385:7370:1] |
Generators of the group modulo torsion |
j |
9393931/16427202 |
j-invariant |
L |
2.3378463811802 |
L(r)(E,1)/r! |
Ω |
0.30566562268311 |
Real period |
R |
0.76483785145961 |
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 |
84150gw1 28050ds1 |
Quadratic twists by: -3 5 |