Atkin-Lehner |
2+ 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
21280a |
Isogeny class |
Conductor |
21280 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2816 |
Modular degree for the optimal curve |
Δ |
-2723840 = -1 · 212 · 5 · 7 · 19 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7+ 2 -4 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1,-79] |
[a1,a2,a3,a4,a6] |
Generators |
[5:4:1] [8:19:1] |
Generators of the group modulo torsion |
j |
-64/665 |
j-invariant |
L |
5.9760823903495 |
L(r)(E,1)/r! |
Ω |
1.1627825435031 |
Real period |
R |
1.2848667241652 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21280s1 42560y1 106400bz1 |
Quadratic twists by: -4 8 5 |