Atkin-Lehner |
2- 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
97344fh |
Isogeny class |
Conductor |
97344 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
344064 |
Modular degree for the optimal curve |
Δ |
3794162872660992 = 210 · 310 · 137 |
Discriminant |
Eigenvalues |
2- 3- -2 0 0 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-44616,2091544] |
[a1,a2,a3,a4,a6] |
Generators |
[209:1377:1] |
Generators of the group modulo torsion |
j |
2725888/1053 |
j-invariant |
L |
5.4344269213077 |
L(r)(E,1)/r! |
Ω |
0.40256678484357 |
Real period |
R |
3.3748604734268 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001795 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97344by1 24336f1 32448da1 7488br1 |
Quadratic twists by: -4 8 -3 13 |