Atkin-Lehner |
2- 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
97344es |
Isogeny class |
Conductor |
97344 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
903168 |
Modular degree for the optimal curve |
Δ |
-1534902827300683776 = -1 · 225 · 36 · 137 |
Discriminant |
Eigenvalues |
2- 3- 1 1 -2 13+ 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-261612,78775632] |
[a1,a2,a3,a4,a6] |
Generators |
[-614:2816:1] |
Generators of the group modulo torsion |
j |
-2146689/1664 |
j-invariant |
L |
7.0078895497977 |
L(r)(E,1)/r! |
Ω |
0.24608668150289 |
Real period |
R |
3.5596651864359 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008372 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97344bc1 24336bl1 10816bk1 7488bz1 |
Quadratic twists by: -4 8 -3 13 |