Atkin-Lehner |
2- 3- 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
11700z |
Isogeny class |
Conductor |
11700 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
4608 |
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 |
[15:-90:1] |
Generators of the group modulo torsion |
j |
10800/13 |
j-invariant |
L |
3.969931763612 |
L(r)(E,1)/r! |
Ω |
1.0089336260855 |
Real period |
R |
0.21859888395316 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46800fk1 1300f1 11700k1 |
Quadratic twists by: -4 -3 5 |