Atkin-Lehner |
2+ 3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
13650be |
Isogeny class |
Conductor |
13650 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
-384138415385156250 = -1 · 2 · 38 · 58 · 78 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-14626,-29828602] |
[a1,a2,a3,a4,a6] |
Generators |
[562:11531:1] |
Generators of the group modulo torsion |
j |
-22143063655441/24584858584650 |
j-invariant |
L |
4.1700578217117 |
L(r)(E,1)/r! |
Ω |
0.13576529734698 |
Real period |
R |
0.47992494943478 |
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 |
109200cy5 40950ef5 2730w6 95550br5 |
Quadratic twists by: -4 -3 5 -7 |