Atkin-Lehner |
2+ 3+ 5+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
60600d |
Isogeny class |
Conductor |
60600 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
8870400 |
Modular degree for the optimal curve |
Δ |
-4.4009146230469E+23 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -3 -1 0 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-129265508,566624481012] |
[a1,a2,a3,a4,a6] |
j |
-59718885747089141926096/110022865576171875 |
j-invariant |
L |
1.129141419483 |
L(r)(E,1)/r! |
Ω |
0.094095118515565 |
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 |
121200bi1 12120q1 |
Quadratic twists by: -4 5 |