Atkin-Lehner |
2- 5- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
55660t |
Isogeny class |
Conductor |
55660 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-16298361200 = -1 · 24 · 52 · 116 · 23 |
Discriminant |
Eigenvalues |
2- -1 5- 2 11- -1 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1250,-17675] |
[a1,a2,a3,a4,a6] |
j |
-7626496/575 |
j-invariant |
L |
1.5988069877333 |
L(r)(E,1)/r! |
Ω |
0.39970174687781 |
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 |
460d1 |
Quadratic twists by: -11 |