Atkin-Lehner |
2- 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
30576dd |
Isogeny class |
Conductor |
30576 |
Conductor |
∏ cp |
280 |
Product of Tamagawa factors cp |
deg |
4892160 |
Modular degree for the optimal curve |
Δ |
-1.834579993202E+22 |
Discriminant |
Eigenvalues |
2- 3- 3 7- -2 13- -6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-94807029,-355402577601] |
[a1,a2,a3,a4,a6] |
Generators |
[35835:6501222:1] |
Generators of the group modulo torsion |
j |
-9122691795384795136/1775882908917 |
j-invariant |
L |
8.1401888642475 |
L(r)(E,1)/r! |
Ω |
0.024191029574876 |
Real period |
R |
1.2017720451548 |
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 |
7644d1 122304fq1 91728gb1 30576bv1 |
Quadratic twists by: -4 8 -3 -7 |