Atkin-Lehner |
2- 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
7920bm |
Isogeny class |
Conductor |
7920 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
20160 |
Modular degree for the optimal curve |
Δ |
-2543580610560 = -1 · 219 · 36 · 5 · 113 |
Discriminant |
Eigenvalues |
2- 3- 5- -5 11- 2 -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12747,559226] |
[a1,a2,a3,a4,a6] |
Generators |
[5:704:1] |
Generators of the group modulo torsion |
j |
-76711450249/851840 |
j-invariant |
L |
3.9368719605008 |
L(r)(E,1)/r! |
Ω |
0.81584613082911 |
Real period |
R |
0.40212565945697 |
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 |
990l1 31680cq1 880e1 39600ef1 |
Quadratic twists by: -4 8 -3 5 |