Atkin-Lehner |
2+ 5- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
113680j |
Isogeny class |
Conductor |
113680 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
32767128884000000 = 28 · 56 · 710 · 29 |
Discriminant |
Eigenvalues |
2+ -2 5- 7- 0 2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-107620,10395468] |
[a1,a2,a3,a4,a6] |
Generators |
[-194:4900:1] |
Generators of the group modulo torsion |
j |
4576974631504/1087953125 |
j-invariant |
L |
5.5631472617268 |
L(r)(E,1)/r! |
Ω |
0.34704585806907 |
Real period |
R |
1.3358338520352 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999994103 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
56840d2 16240c2 |
Quadratic twists by: -4 -7 |