Atkin-Lehner |
2+ 3- 5+ 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
13110l |
Isogeny class |
Conductor |
13110 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
87525981506400 = 25 · 3 · 52 · 194 · 234 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 4 -6 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-16779,703702] |
[a1,a2,a3,a4,a6] |
Generators |
[46:149:1] |
Generators of the group modulo torsion |
j |
522377817554058409/87525981506400 |
j-invariant |
L |
3.3504552271723 |
L(r)(E,1)/r! |
Ω |
0.57756624012964 |
Real period |
R |
1.4502471726967 |
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 |
104880bq3 39330bu3 65550bn3 |
Quadratic twists by: -4 -3 5 |