Atkin-Lehner |
2- 3+ 5+ 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
120900l |
Isogeny class |
Conductor |
120900 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
691200 |
Modular degree for the optimal curve |
Δ |
-734467500000000 = -1 · 28 · 36 · 510 · 13 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 1 13- 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-255533,49820937] |
[a1,a2,a3,a4,a6] |
Generators |
[-568:3375:1] |
Generators of the group modulo torsion |
j |
-461324374319104/183616875 |
j-invariant |
L |
6.9817192693863 |
L(r)(E,1)/r! |
Ω |
0.49803306888401 |
Real period |
R |
3.5046464231698 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000022126 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24180c1 |
Quadratic twists by: 5 |