Atkin-Lehner |
3- 5+ 11+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
116325r |
Isogeny class |
Conductor |
116325 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-62275679296875 = -1 · 38 · 58 · 11 · 472 |
Discriminant |
Eigenvalues |
-1 3- 5+ -2 11+ -6 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,9895,-27228] |
[a1,a2,a3,a4,a6] |
Generators |
[9:245:1] [14:330:1] |
Generators of the group modulo torsion |
j |
9407293631/5467275 |
j-invariant |
L |
6.6104335259422 |
L(r)(E,1)/r! |
Ω |
0.36848246930446 |
Real period |
R |
2.2424518373189 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000005218 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38775e2 23265s2 |
Quadratic twists by: -3 5 |