Atkin-Lehner |
3+ 5+ 17- 47- |
Signs for the Atkin-Lehner involutions |
Class |
11985c |
Isogeny class |
Conductor |
11985 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-105612089798829375 = -1 · 316 · 54 · 174 · 47 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 0 0 6 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,117164,-2440636] |
[a1,a2,a3,a4,a6] |
Generators |
[739:21730:1] |
Generators of the group modulo torsion |
j |
177871370336252805311/105612089798829375 |
j-invariant |
L |
2.4330006266856 |
L(r)(E,1)/r! |
Ω |
0.19584596286986 |
Real period |
R |
3.1057579526191 |
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 |
35955h3 59925n3 |
Quadratic twists by: -3 5 |