Atkin-Lehner |
2- 3+ 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
114240fp |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-288012840981626880 = -1 · 217 · 32 · 5 · 7 · 178 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -4 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-57601,26382241] |
[a1,a2,a3,a4,a6] |
Generators |
[-72:5491:1] |
Generators of the group modulo torsion |
j |
-161254333699202/2197363593915 |
j-invariant |
L |
4.0489686887465 |
L(r)(E,1)/r! |
Ω |
0.26102054844922 |
Real period |
R |
1.9390085623584 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000152114 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114240dw5 28560bs5 |
Quadratic twists by: -4 8 |