Atkin-Lehner |
3+ 5- 59- |
Signs for the Atkin-Lehner involutions |
Class |
13275l |
Isogeny class |
Conductor |
13275 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
2268158203125 = 39 · 59 · 59 |
Discriminant |
Eigenvalues |
-2 3+ 5- 4 5 -1 -1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-3375,-21094] |
[a1,a2,a3,a4,a6] |
Generators |
[150:1687:1] |
Generators of the group modulo torsion |
j |
110592/59 |
j-invariant |
L |
2.98290828681 |
L(r)(E,1)/r! |
Ω |
0.66580532023917 |
Real period |
R |
1.1200377182847 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13275h1 13275k1 |
Quadratic twists by: -3 5 |