Atkin-Lehner |
2+ 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
13520l |
Isogeny class |
Conductor |
13520 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
74880 |
Modular degree for the optimal curve |
Δ |
-1411670956533760 = -1 · 211 · 5 · 1310 |
Discriminant |
Eigenvalues |
2+ -2 5- 3 -5 13+ -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9520,1839540] |
[a1,a2,a3,a4,a6] |
j |
-338/5 |
j-invariant |
L |
1.6236539839946 |
L(r)(E,1)/r! |
Ω |
0.40591349599865 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6760l1 54080cg1 121680t1 67600q1 |
Quadratic twists by: -4 8 -3 5 |