Atkin-Lehner |
2- 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
97344em |
Isogeny class |
Conductor |
97344 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1686294610071552 = 212 · 38 · 137 |
Discriminant |
Eigenvalues |
2- 3- 0 2 0 13+ -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-111540,-14201408] |
[a1,a2,a3,a4,a6] |
Generators |
[-97784:188001:512] |
Generators of the group modulo torsion |
j |
10648000/117 |
j-invariant |
L |
7.7403725219223 |
L(r)(E,1)/r! |
Ω |
0.26141483418447 |
Real period |
R |
7.4023845573693 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999940375 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97344ep2 48672bm1 32448cx2 7488bo2 |
Quadratic twists by: -4 8 -3 13 |