Atkin-Lehner |
2- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
13520v |
Isogeny class |
Conductor |
13520 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1124864000000 = 215 · 56 · 133 |
Discriminant |
Eigenvalues |
2- -2 5+ 0 0 13- 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9416,-351116] |
[a1,a2,a3,a4,a6] |
Generators |
[-60:38:1] |
Generators of the group modulo torsion |
j |
10260751717/125000 |
j-invariant |
L |
2.9105925165278 |
L(r)(E,1)/r! |
Ω |
0.48500813034932 |
Real period |
R |
3.000560541564 |
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 |
1690d2 54080dj2 121680fn2 67600ct2 |
Quadratic twists by: -4 8 -3 5 |