Atkin-Lehner |
3- 5+ 11- 73- |
Signs for the Atkin-Lehner involutions |
Class |
60225w |
Isogeny class |
Conductor |
60225 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
2056320 |
Modular degree for the optimal curve |
Δ |
-1751663334478921875 = -1 · 39 · 56 · 114 · 733 |
Discriminant |
Eigenvalues |
2 3- 5+ 2 11- 2 -7 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-1417008,-652829731] |
[a1,a2,a3,a4,a6] |
j |
-20138211563024060416/112106453406651 |
j-invariant |
L |
7.4697430456546 |
L(r)(E,1)/r! |
Ω |
0.069164287471387 |
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 |
2409c1 |
Quadratic twists by: 5 |