Atkin-Lehner |
2+ 3+ 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
12480s |
Isogeny class |
Conductor |
12480 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
2771352327070679040 = 223 · 34 · 5 · 138 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 0 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-397345,53786785] |
[a1,a2,a3,a4,a6] |
Generators |
[-39:8320:1] |
Generators of the group modulo torsion |
j |
26465989780414729/10571870144160 |
j-invariant |
L |
4.9731043530023 |
L(r)(E,1)/r! |
Ω |
0.2317103453739 |
Real period |
R |
1.3414119320443 |
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 |
12480dg4 390g3 37440bv3 62400cp3 |
Quadratic twists by: -4 8 -3 5 |