Atkin-Lehner |
2- 3- 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
46800fk |
Isogeny class |
Conductor |
46800 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-1516320000 = -1 · 28 · 36 · 54 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5- 3 3 13- 1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,225,-1350] |
[a1,a2,a3,a4,a6] |
Generators |
[30:180:1] |
Generators of the group modulo torsion |
j |
10800/13 |
j-invariant |
L |
7.2637238592483 |
L(r)(E,1)/r! |
Ω |
0.80946228782377 |
Real period |
R |
1.495586219912 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11700z1 5200bg1 46800di1 |
Quadratic twists by: -4 -3 5 |