Atkin-Lehner |
2+ 3+ 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
35520b |
Isogeny class |
Conductor |
35520 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
-3938777280 = -1 · 26 · 35 · 5 · 373 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 0 1 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-787221,-268577289] |
[a1,a2,a3,a4,a6] |
Generators |
[42919179056511039864966702573614054458:-31552838964027363579724403853113812981:41868795747812533929094398479630261] |
Generators of the group modulo torsion |
j |
-843013059301831868416/61543395 |
j-invariant |
L |
4.8471560872802 |
L(r)(E,1)/r! |
Ω |
0.080139263219959 |
Real period |
R |
60.484160853541 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35520cm2 555b2 106560co2 |
Quadratic twists by: -4 8 -3 |