Atkin-Lehner |
2- 3- 5- 67- |
Signs for the Atkin-Lehner involutions |
Class |
60300w |
Isogeny class |
Conductor |
60300 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
49536 |
Modular degree for the optimal curve |
Δ |
-7814880000 = -1 · 28 · 36 · 54 · 67 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 0 -6 -6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1800,29700] |
[a1,a2,a3,a4,a6] |
Generators |
[24:-18:1] |
Generators of the group modulo torsion |
j |
-5529600/67 |
j-invariant |
L |
6.5946148761622 |
L(r)(E,1)/r! |
Ω |
1.3207283849816 |
Real period |
R |
0.83219418302285 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000232 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6700j1 60300f1 |
Quadratic twists by: -3 5 |