Atkin-Lehner |
2+ 3+ 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
21840g |
Isogeny class |
Conductor |
21840 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
8192 |
Modular degree for the optimal curve |
Δ |
359573760 = 28 · 32 · 5 · 74 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 0 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-260,-1248] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:16:1] |
Generators of the group modulo torsion |
j |
7622072656/1404585 |
j-invariant |
L |
4.5137726711758 |
L(r)(E,1)/r! |
Ω |
1.2036603445501 |
Real period |
R |
1.875019265864 |
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 |
10920u1 87360ft1 65520p1 109200bt1 |
Quadratic twists by: -4 8 -3 5 |