Atkin-Lehner |
2- 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
97344fg |
Isogeny class |
Conductor |
97344 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
688128 |
Modular degree for the optimal curve |
Δ |
421573652517888 = 210 · 38 · 137 |
Discriminant |
Eigenvalues |
2- 3- 2 4 0 13+ -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-239304,45047288] |
[a1,a2,a3,a4,a6] |
Generators |
[649:12771:1] |
Generators of the group modulo torsion |
j |
420616192/117 |
j-invariant |
L |
9.6283653634477 |
L(r)(E,1)/r! |
Ω |
0.5185829804645 |
Real period |
R |
4.6416705386728 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999941121 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97344bx1 24336l1 32448cl1 7488bu1 |
Quadratic twists by: -4 8 -3 13 |