Atkin-Lehner |
3- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
28665bh |
Isogeny class |
Conductor |
28665 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
254016 |
Modular degree for the optimal curve |
Δ |
-2351867849296875 = -1 · 39 · 57 · 76 · 13 |
Discriminant |
Eigenvalues |
-2 3- 5+ 7- -5 13- -7 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-29253,-3025346] |
[a1,a2,a3,a4,a6] |
j |
-32278933504/27421875 |
j-invariant |
L |
0.35243421731457 |
L(r)(E,1)/r! |
Ω |
0.1762171086574 |
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 |
9555m1 585i1 |
Quadratic twists by: -3 -7 |