Atkin-Lehner |
2+ 3+ 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
52800s |
Isogeny class |
Conductor |
52800 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
44605440000000000 = 222 · 32 · 510 · 112 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 11+ -2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-164033,23519937] |
[a1,a2,a3,a4,a6] |
Generators |
[-448:2625:1] |
Generators of the group modulo torsion |
j |
119168121961/10890000 |
j-invariant |
L |
6.1254359801234 |
L(r)(E,1)/r! |
Ω |
0.35045483690586 |
Real period |
R |
4.3696329277224 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000048 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
52800hg2 1650t2 10560s2 |
Quadratic twists by: -4 8 5 |