Atkin-Lehner |
2+ 3- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
13464j |
Isogeny class |
Conductor |
13464 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-3357230196041238528 = -1 · 211 · 318 · 114 · 172 |
Discriminant |
Eigenvalues |
2+ 3- -2 -4 11- 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-153651,-91152466] |
[a1,a2,a3,a4,a6] |
Generators |
[694:11682:1] |
Generators of the group modulo torsion |
j |
-268702931670626/2248659199809 |
j-invariant |
L |
3.4167231378005 |
L(r)(E,1)/r! |
Ω |
0.10596699354994 |
Real period |
R |
4.0304096390522 |
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 |
26928j3 107712z3 4488f4 |
Quadratic twists by: -4 8 -3 |