Atkin-Lehner |
2+ 3+ 5- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
38640k |
Isogeny class |
Conductor |
38640 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
248389911383040 = 210 · 316 · 5 · 72 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 4 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-122400,-16424208] |
[a1,a2,a3,a4,a6] |
Generators |
[196491141:-1474965288:456533] |
Generators of the group modulo torsion |
j |
198048499826486404/242568272835 |
j-invariant |
L |
5.484077711218 |
L(r)(E,1)/r! |
Ω |
0.25526181009472 |
Real period |
R |
10.742064606499 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19320bb4 115920q4 |
Quadratic twists by: -4 -3 |