Atkin-Lehner |
2+ 5- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
5360d |
Isogeny class |
Conductor |
5360 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
-345632027392000 = -1 · 211 · 53 · 675 |
Discriminant |
Eigenvalues |
2+ 0 5- -1 1 -2 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-66227,-6620654] |
[a1,a2,a3,a4,a6] |
j |
-15685523123710482/168765638375 |
j-invariant |
L |
1.7844877116203 |
L(r)(E,1)/r! |
Ω |
0.14870730930169 |
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 |
2680a1 21440s1 48240g1 26800f1 |
Quadratic twists by: -4 8 -3 5 |