Atkin-Lehner |
2+ 3- 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
8280f |
Isogeny class |
Conductor |
8280 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
76800 |
Modular degree for the optimal curve |
Δ |
-418999563525600000 = -1 · 28 · 316 · 55 · 233 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 4 0 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,68532,-30368108] |
[a1,a2,a3,a4,a6] |
j |
190737654201344/2245153696875 |
j-invariant |
L |
1.1741843191373 |
L(r)(E,1)/r! |
Ω |
0.14677303989216 |
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 |
16560p1 66240cq1 2760k1 41400ca1 |
Quadratic twists by: -4 8 -3 5 |