Atkin-Lehner |
2+ 3+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
97344d |
Isogeny class |
Conductor |
97344 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-12634472448 = -1 · 214 · 33 · 134 |
Discriminant |
Eigenvalues |
2+ 3+ 0 5 0 13+ 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,0,5408] |
[a1,a2,a3,a4,a6] |
Generators |
[98:681:8] |
Generators of the group modulo torsion |
j |
0 |
j-invariant |
L |
8.5527900805162 |
L(r)(E,1)/r! |
Ω |
1.0040443452812 |
Real period |
R |
4.2591694816353 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015499 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97344du1 6084b1 97344d2 97344e1 |
Quadratic twists by: -4 8 -3 13 |