Atkin-Lehner |
2- 3- 5+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
111090cp |
Isogeny class |
Conductor |
111090 |
Conductor |
∏ cp |
880 |
Product of Tamagawa factors cp |
Δ |
1802445310310400 = 211 · 310 · 52 · 72 · 233 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -4 -2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-247146,47226276] |
[a1,a2,a3,a4,a6] |
Generators |
[-564:2982:1] [228:1542:1] |
Generators of the group modulo torsion |
j |
137214836227553687/148142131200 |
j-invariant |
L |
18.096443777909 |
L(r)(E,1)/r! |
Ω |
0.46820446499333 |
Real period |
R |
0.17568513074221 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999976199 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
111090dn2 |
Quadratic twists by: -23 |