Atkin-Lehner |
2- 3+ 5- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
60270be |
Isogeny class |
Conductor |
60270 |
Conductor |
∏ cp |
228 |
Product of Tamagawa factors cp |
deg |
393984 |
Modular degree for the optimal curve |
Δ |
-148119552000000 = -1 · 219 · 32 · 56 · 72 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -6 5 -8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1660,585437] |
[a1,a2,a3,a4,a6] |
Generators |
[77:921:1] |
Generators of the group modulo torsion |
j |
-10324481432209/3022848000000 |
j-invariant |
L |
8.1623853607101 |
L(r)(E,1)/r! |
Ω |
0.47107011506137 |
Real period |
R |
0.075997043002883 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000025 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
60270bf1 |
Quadratic twists by: -7 |