Atkin-Lehner |
2+ 3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
12480a |
Isogeny class |
Conductor |
12480 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-48113755678310400 = -1 · 218 · 32 · 52 · 138 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 -4 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,38719,-10150719] |
[a1,a2,a3,a4,a6] |
Generators |
[161:480:1] |
Generators of the group modulo torsion |
j |
24487529386319/183539412225 |
j-invariant |
L |
3.4058133531174 |
L(r)(E,1)/r! |
Ω |
0.17778646770203 |
Real period |
R |
2.3945954641114 |
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 |
12480cj6 195a6 37440ca5 62400cs5 |
Quadratic twists by: -4 8 -3 5 |