Atkin-Lehner |
2- 3- 5+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
60900u |
Isogeny class |
Conductor |
60900 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
129600 |
Modular degree for the optimal curve |
Δ |
-28074412800 = -1 · 28 · 32 · 52 · 75 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 0 -1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-97973,-11836137] |
[a1,a2,a3,a4,a6] |
j |
-16250524802744320/4386627 |
j-invariant |
L |
4.0477514360868 |
L(r)(E,1)/r! |
Ω |
0.13492504790086 |
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 |
60900e1 |
Quadratic twists by: 5 |