Atkin-Lehner |
2- 3+ 5- 59- |
Signs for the Atkin-Lehner involutions |
Class |
7080i |
Isogeny class |
Conductor |
7080 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1728 |
Modular degree for the optimal curve |
Δ |
-8156160 = -1 · 210 · 33 · 5 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 5- -1 2 -5 1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-160,-740] |
[a1,a2,a3,a4,a6] |
j |
-445138564/7965 |
j-invariant |
L |
1.3402398730997 |
L(r)(E,1)/r! |
Ω |
0.67011993654987 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14160g1 56640u1 21240b1 35400f1 |
Quadratic twists by: -4 8 -3 5 |