Atkin-Lehner |
3- 5+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
103455m |
Isogeny class |
Conductor |
103455 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
16957440 |
Modular degree for the optimal curve |
Δ |
60899979245675625 = 36 · 54 · 117 · 193 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 11- -2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1069843605,-13468521751624] |
[a1,a2,a3,a4,a6] |
Generators |
[-113591430292264464066561809581568986964688328597015784560415885545506828:56792471280514248763147130969794072030352559258210150820571472244875350:6015226874066755326662133901452347254075420059804965236509514082931] |
Generators of the group modulo torsion |
j |
104857852278310619039721/47155625 |
j-invariant |
L |
5.5966965135125 |
L(r)(E,1)/r! |
Ω |
0.02639790617316 |
Real period |
R |
106.00644757202 |
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 |
11495f1 9405i1 |
Quadratic twists by: -3 -11 |