Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
10080v |
Isogeny class |
Conductor |
10080 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-15808411422720 = -1 · 212 · 38 · 5 · 76 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -6 4 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12108,547328] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:756:1] |
Generators of the group modulo torsion |
j |
-65743598656/5294205 |
j-invariant |
L |
4.1173127985589 |
L(r)(E,1)/r! |
Ω |
0.68382107565881 |
Real period |
R |
0.2508765904512 |
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 |
10080o2 20160fl1 3360r2 50400dk2 |
Quadratic twists by: -4 8 -3 5 |