Atkin-Lehner |
3- 5+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
15675s |
Isogeny class |
Conductor |
15675 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
702872241328125 = 316 · 57 · 11 · 19 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 11- 2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-142751,20708273] |
[a1,a2,a3,a4,a6] |
Generators |
[237:331:1] |
Generators of the group modulo torsion |
j |
20589072861673441/44983823445 |
j-invariant |
L |
7.1087453908682 |
L(r)(E,1)/r! |
Ω |
0.50951231327905 |
Real period |
R |
0.87200363043224 |
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 |
47025n4 3135b4 |
Quadratic twists by: -3 5 |