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 |
deg |
172032 |
Modular degree for the optimal curve |
Δ |
114176197556928 = 26 · 37 · 138 |
Discriminant |
Eigenvalues |
2- 3- 0 2 0 13+ -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12675,193336] |
[a1,a2,a3,a4,a6] |
Generators |
[-88:792:1] |
Generators of the group modulo torsion |
j |
1000000/507 |
j-invariant |
L |
7.7403725219223 |
L(r)(E,1)/r! |
Ω |
0.52282966836894 |
Real period |
R |
3.7011922786847 |
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 |
97344ep1 48672bm2 32448cx1 7488bo1 |
Quadratic twists by: -4 8 -3 13 |