Atkin-Lehner |
2+ 3- 11+ 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
32538i |
Isogeny class |
Conductor |
32538 |
Conductor |
∏ cp |
224 |
Product of Tamagawa factors cp |
Δ |
-5203368546051595392 = -1 · 27 · 314 · 112 · 174 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 0 -2 11+ 0 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,429279,-17995628] |
[a1,a2,a3,a4,a6] |
Generators |
[182:8043:1] |
Generators of the group modulo torsion |
j |
8748711540472284848375/5203368546051595392 |
j-invariant |
L |
4.574709648086 |
L(r)(E,1)/r! |
Ω |
0.14144079388344 |
Real period |
R |
0.57756494058665 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97614bi2 |
Quadratic twists by: -3 |