Atkin-Lehner |
2+ 3- 5- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
7080g |
Isogeny class |
Conductor |
7080 |
Conductor |
∏ cp |
38 |
Product of Tamagawa factors cp |
deg |
25536 |
Modular degree for the optimal curve |
Δ |
-351095943951360 = -1 · 210 · 319 · 5 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 5- -3 2 -1 -7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-35880,-2778912] |
[a1,a2,a3,a4,a6] |
Generators |
[228:972:1] |
Generators of the group modulo torsion |
j |
-4988766332702884/342867132765 |
j-invariant |
L |
4.851267073292 |
L(r)(E,1)/r! |
Ω |
0.17275782817494 |
Real period |
R |
0.73898198611348 |
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 |
14160e1 56640g1 21240k1 35400k1 |
Quadratic twists by: -4 8 -3 5 |