Atkin-Lehner |
3- 7- 17+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
117453r |
Isogeny class |
Conductor |
117453 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-310785765880527 = -1 · 34 · 710 · 172 · 47 |
Discriminant |
Eigenvalues |
1 3- 0 7- 6 2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,4629,839857] |
[a1,a2,a3,a4,a6] |
Generators |
[2153:98883:1] |
Generators of the group modulo torsion |
j |
93267830375/2641635423 |
j-invariant |
L |
11.520061576244 |
L(r)(E,1)/r! |
Ω |
0.40949243524718 |
Real period |
R |
3.5165672721344 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007317 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16779g2 |
Quadratic twists by: -7 |