Atkin-Lehner |
2- 3+ 5+ 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
120900k |
Isogeny class |
Conductor |
120900 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
24180000000 = 28 · 3 · 57 · 13 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 -6 13- -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3133,68137] |
[a1,a2,a3,a4,a6] |
Generators |
[27:50:1] |
Generators of the group modulo torsion |
j |
850518016/6045 |
j-invariant |
L |
3.9194139736935 |
L(r)(E,1)/r! |
Ω |
1.2038929765965 |
Real period |
R |
0.27130138345779 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000032312 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24180f1 |
Quadratic twists by: 5 |