Atkin-Lehner |
2- 3- 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
3120ba |
Isogeny class |
Conductor |
3120 |
Conductor |
∏ cp |
130 |
Product of Tamagawa factors cp |
deg |
6240 |
Modular degree for the optimal curve |
Δ |
-16580959200000 = -1 · 28 · 313 · 55 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 -1 13- -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,195,195975] |
[a1,a2,a3,a4,a6] |
Generators |
[15:-450:1] |
Generators of the group modulo torsion |
j |
3186827264/64769371875 |
j-invariant |
L |
3.9162688959915 |
L(r)(E,1)/r! |
Ω |
0.54870463495823 |
Real period |
R |
0.054902297947736 |
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 |
780b1 12480bo1 9360bq1 15600bb1 |
Quadratic twists by: -4 8 -3 5 |