Atkin-Lehner |
2+ 3- 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
65520s |
Isogeny class |
Conductor |
65520 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
7132769280 = 210 · 37 · 5 · 72 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -4 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1834563,956416498] |
[a1,a2,a3,a4,a6] |
Generators |
[786:194:1] |
Generators of the group modulo torsion |
j |
914732517663095044/9555 |
j-invariant |
L |
4.3304812395694 |
L(r)(E,1)/r! |
Ω |
0.66464910364216 |
Real period |
R |
3.2577199126042 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997927 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32760n4 21840s4 |
Quadratic twists by: -4 -3 |