Atkin-Lehner |
3- 5+ 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
43365p |
Isogeny class |
Conductor |
43365 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1267200 |
Modular degree for the optimal curve |
Δ |
29411143554096885 = 3 · 5 · 716 · 59 |
Discriminant |
Eigenvalues |
-2 3- 5+ 7- 1 -5 3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-2925806,1925274026] |
[a1,a2,a3,a4,a6] |
j |
23543563594568052736/249990595365 |
j-invariant |
L |
0.674648399773 |
L(r)(E,1)/r! |
Ω |
0.33732419987221 |
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 |
6195d1 |
Quadratic twists by: -7 |