Atkin-Lehner |
2- 7+ 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
97006m |
Isogeny class |
Conductor |
97006 |
Conductor |
∏ cp |
136 |
Product of Tamagawa factors cp |
deg |
17625600 |
Modular degree for the optimal curve |
Δ |
-4.78125382462E+22 |
Discriminant |
Eigenvalues |
2- -2 -4 7+ -4 13+ -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-5353670,11549872996] |
[a1,a2,a3,a4,a6] |
Generators |
[1068:-84502:1] |
Generators of the group modulo torsion |
j |
-3515753329334380009/9905620513718272 |
j-invariant |
L |
2.9427958774577 |
L(r)(E,1)/r! |
Ω |
0.099702909830245 |
Real period |
R |
0.86810726078526 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999977094 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
574d1 |
Quadratic twists by: 13 |