Atkin-Lehner |
2- 7+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
115192w |
Isogeny class |
Conductor |
115192 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1796648830771300352 = 211 · 72 · 118 · 174 |
Discriminant |
Eigenvalues |
2- 2 0 7+ 11- 4 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-543088,-139717620] |
[a1,a2,a3,a4,a6] |
Generators |
[20716439720378070123:1420092478375546942142:4299180329230227] |
Generators of the group modulo torsion |
j |
4882576639250/495196009 |
j-invariant |
L |
9.6758694517615 |
L(r)(E,1)/r! |
Ω |
0.17701616153982 |
Real period |
R |
27.330469049063 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003582 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10472d2 |
Quadratic twists by: -11 |