Atkin-Lehner |
2- 3+ 5+ 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
118320bg |
Isogeny class |
Conductor |
118320 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-364130178624000000 = -1 · 212 · 34 · 56 · 174 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 -2 2 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-342296,-82253904] |
[a1,a2,a3,a4,a6] |
Generators |
[1514:53550:1] |
Generators of the group modulo torsion |
j |
-1082855496202633369/88898969390625 |
j-invariant |
L |
5.6728193485272 |
L(r)(E,1)/r! |
Ω |
0.098227471173628 |
Real period |
R |
3.6094913579011 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000027451 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7395g2 |
Quadratic twists by: -4 |