Atkin-Lehner |
3- 5- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
13275y |
Isogeny class |
Conductor |
13275 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
8960 |
Modular degree for the optimal curve |
Δ |
-252017578125 = -1 · 37 · 59 · 59 |
Discriminant |
Eigenvalues |
-1 3- 5- 1 -2 -3 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-680,-24928] |
[a1,a2,a3,a4,a6] |
Generators |
[144:1615:1] |
Generators of the group modulo torsion |
j |
-24389/177 |
j-invariant |
L |
2.630771145402 |
L(r)(E,1)/r! |
Ω |
0.41406860193694 |
Real period |
R |
1.5883667181571 |
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 |
4425m1 13275t1 |
Quadratic twists by: -3 5 |