Atkin-Lehner |
2+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
118976j |
Isogeny class |
Conductor |
118976 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-172717333805006848 = -1 · 239 · 11 · 134 |
Discriminant |
Eigenvalues |
2+ 2 0 2 11+ 13+ 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-573473,-168154975] |
[a1,a2,a3,a4,a6] |
Generators |
[88117167168850638590079:13127741134620685251936256:3965251302028939671] |
Generators of the group modulo torsion |
j |
-2785800837625/23068672 |
j-invariant |
L |
11.395795810452 |
L(r)(E,1)/r! |
Ω |
0.086701496935549 |
Real period |
R |
32.859282172841 |
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 |
118976di2 3718j2 118976bi2 |
Quadratic twists by: -4 8 13 |