Atkin-Lehner |
2- 3+ 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
12480cb |
Isogeny class |
Conductor |
12480 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
155750400 = 212 · 32 · 52 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 4 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-185,825] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:40:1] |
Generators of the group modulo torsion |
j |
171879616/38025 |
j-invariant |
L |
4.6685073812394 |
L(r)(E,1)/r! |
Ω |
1.719912708646 |
Real period |
R |
1.3571931173515 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
12480cv2 6240m1 37440dv2 62400gz2 |
Quadratic twists by: -4 8 -3 5 |