Atkin-Lehner |
2- 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
97344er |
Isogeny class |
Conductor |
97344 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
344064 |
Modular degree for the optimal curve |
Δ |
421573652517888 = 210 · 38 · 137 |
Discriminant |
Eigenvalues |
2- 3- 0 -4 -2 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-20280,-509704] |
[a1,a2,a3,a4,a6] |
Generators |
[182:1352:1] |
Generators of the group modulo torsion |
j |
256000/117 |
j-invariant |
L |
5.4676083405639 |
L(r)(E,1)/r! |
Ω |
0.41779610573006 |
Real period |
R |
1.6358482805499 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000002036 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97344z1 24336d1 32448bz1 7488by1 |
Quadratic twists by: -4 8 -3 13 |