Atkin-Lehner |
3+ 5+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
48165a |
Isogeny class |
Conductor |
48165 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
697449766455 = 32 · 5 · 138 · 19 |
Discriminant |
Eigenvalues |
1 3+ 5+ 0 4 13+ -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-130238163,-572132611422] |
[a1,a2,a3,a4,a6] |
Generators |
[-6752273491212469408115357019369277640606:3376106258553986567323732011899876191825:1024740893448832962229793541766250488] |
Generators of the group modulo torsion |
j |
50614900703283430575361/144495 |
j-invariant |
L |
5.0461796477661 |
L(r)(E,1)/r! |
Ω |
0.04469047686415 |
Real period |
R |
56.456990413151 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000018 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3705e5 |
Quadratic twists by: 13 |