Atkin-Lehner |
2+ 3+ 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
121680g |
Isogeny class |
Conductor |
121680 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
6672580761600 = 211 · 33 · 52 · 136 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 2 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-20787,1146834] |
[a1,a2,a3,a4,a6] |
j |
3721734/25 |
j-invariant |
L |
3.0148532773995 |
L(r)(E,1)/r! |
Ω |
0.75371349712958 |
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 |
60840c2 121680b2 720a2 |
Quadratic twists by: -4 -3 13 |