Atkin-Lehner |
2- 3+ 11- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
128832be |
Isogeny class |
Conductor |
128832 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
57126508167168 = 217 · 310 · 112 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 11- 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-74383474177,7808438260877473] |
[a1,a2,a3,a4,a6] |
Generators |
[90220264411647198282661201960:14298853952856847564290507693:572829559809522430223375] |
Generators of the group modulo torsion |
j |
347250725847084265534751416342274/435840669 |
j-invariant |
L |
6.5669922075129 |
L(r)(E,1)/r! |
Ω |
0.080073361989943 |
Real period |
R |
41.006097896144 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999486018 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
128832m6 32208e6 |
Quadratic twists by: -4 8 |