Atkin-Lehner |
3+ 5- 19- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
13395c |
Isogeny class |
Conductor |
13395 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
298797451171875 = 36 · 510 · 19 · 472 |
Discriminant |
Eigenvalues |
1 3+ 5- -2 -2 4 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-222087,-40368114] |
[a1,a2,a3,a4,a6] |
Generators |
[1262:40494:1] |
Generators of the group modulo torsion |
j |
1211424019558832100601/298797451171875 |
j-invariant |
L |
4.466809687782 |
L(r)(E,1)/r! |
Ω |
0.21992517376172 |
Real period |
R |
2.0310588421413 |
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 |
40185e2 66975k2 |
Quadratic twists by: -3 5 |