Atkin-Lehner |
2+ 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
97344cc |
Isogeny class |
Conductor |
97344 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1048320 |
Modular degree for the optimal curve |
Δ |
102910812731311104 = 210 · 36 · 1310 |
Discriminant |
Eigenvalues |
2+ 3- -2 -1 5 13+ -3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1028196,-400996440] |
[a1,a2,a3,a4,a6] |
j |
1168128 |
j-invariant |
L |
1.3494146351468 |
L(r)(E,1)/r! |
Ω |
0.14993495597799 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97344fj1 6084h1 10816q1 97344bs1 |
Quadratic twists by: -4 8 -3 13 |