Atkin-Lehner |
2+ 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
24640h |
Isogeny class |
Conductor |
24640 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-662599168000 = -1 · 212 · 53 · 76 · 11 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7+ 11- 2 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,919,37975] |
[a1,a2,a3,a4,a6] |
j |
20933297216/161767375 |
j-invariant |
L |
1.3257804259472 |
L(r)(E,1)/r! |
Ω |
0.66289021297373 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24640j1 12320b1 123200cf1 |
Quadratic twists by: -4 8 5 |