Atkin-Lehner |
2+ 5- 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
11480d |
Isogeny class |
Conductor |
11480 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-22050784000 = -1 · 28 · 53 · 75 · 41 |
Discriminant |
Eigenvalues |
2+ 0 5- 7+ 4 4 2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14972,-705164] |
[a1,a2,a3,a4,a6] |
j |
-1449850431476736/86135875 |
j-invariant |
L |
2.5895798221942 |
L(r)(E,1)/r! |
Ω |
0.21579831851618 |
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 |
22960e1 91840a1 103320bb1 57400s1 |
Quadratic twists by: -4 8 -3 5 |