Atkin-Lehner |
2+ 5- 41- |
Signs for the Atkin-Lehner involutions |
Class |
13120t |
Isogeny class |
Conductor |
13120 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-275415040000 = -1 · 218 · 54 · 412 |
Discriminant |
Eigenvalues |
2+ -2 5- 2 -6 -2 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1025,-28577] |
[a1,a2,a3,a4,a6] |
Generators |
[91:800:1] |
Generators of the group modulo torsion |
j |
-454756609/1050625 |
j-invariant |
L |
3.2910598692998 |
L(r)(E,1)/r! |
Ω |
0.39417411434356 |
Real period |
R |
1.0436567716974 |
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 |
13120bm2 205b2 118080x2 65600v2 |
Quadratic twists by: -4 8 -3 5 |