Atkin-Lehner |
2+ 5- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
13120o |
Isogeny class |
Conductor |
13120 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
4198400 = 212 · 52 · 41 |
Discriminant |
Eigenvalues |
2+ 0 5- 4 2 -4 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-212,-1184] |
[a1,a2,a3,a4,a6] |
j |
257259456/1025 |
j-invariant |
L |
2.502935566524 |
L(r)(E,1)/r! |
Ω |
1.251467783262 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13120p2 6560h1 118080bq2 65600d2 |
Quadratic twists by: -4 8 -3 5 |