Atkin-Lehner |
2+ 3- 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
21840v |
Isogeny class |
Conductor |
21840 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
10240 |
Modular degree for the optimal curve |
Δ |
767719680 = 28 · 3 · 5 · 7 · 134 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 0 13- -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-260,828] |
[a1,a2,a3,a4,a6] |
Generators |
[18:48:1] |
Generators of the group modulo torsion |
j |
7622072656/2998905 |
j-invariant |
L |
7.0493439751957 |
L(r)(E,1)/r! |
Ω |
1.4520485133926 |
Real period |
R |
2.4273789443595 |
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 |
10920m1 87360en1 65520z1 109200a1 |
Quadratic twists by: -4 8 -3 5 |