Atkin-Lehner |
2- 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
7920bj |
Isogeny class |
Conductor |
7920 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
3192614092800 = 216 · 311 · 52 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 11- 2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-200667,-34598774] |
[a1,a2,a3,a4,a6] |
Generators |
[2877:152320:1] |
Generators of the group modulo torsion |
j |
299270638153369/1069200 |
j-invariant |
L |
4.6615542323383 |
L(r)(E,1)/r! |
Ω |
0.22556964615771 |
Real period |
R |
5.1664245519532 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
990k1 31680ci1 2640r1 39600dq1 |
Quadratic twists by: -4 8 -3 5 |