Atkin-Lehner |
2- 7- 19+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
65968p |
Isogeny class |
Conductor |
65968 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
10368 |
Modular degree for the optimal curve |
Δ |
-16887808 = -1 · 212 · 7 · 19 · 31 |
Discriminant |
Eigenvalues |
2- 0 -2 7- 2 -2 -7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,64,-16] |
[a1,a2,a3,a4,a6] |
Generators |
[1:7:1] [89:843:1] |
Generators of the group modulo torsion |
j |
7077888/4123 |
j-invariant |
L |
9.196396722576 |
L(r)(E,1)/r! |
Ω |
1.2964228070249 |
Real period |
R |
7.0936708863288 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000012 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4123a1 |
Quadratic twists by: -4 |