Atkin-Lehner |
2- 31+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
93248be |
Isogeny class |
Conductor |
93248 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
14592 |
Modular degree for the optimal curve |
Δ |
2890688 = 26 · 312 · 47 |
Discriminant |
Eigenvalues |
2- -2 2 -4 0 0 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-52,-138] |
[a1,a2,a3,a4,a6] |
Generators |
[219:170:27] |
Generators of the group modulo torsion |
j |
247673152/45167 |
j-invariant |
L |
4.2412056118566 |
L(r)(E,1)/r! |
Ω |
1.7973231737699 |
Real period |
R |
4.719469125997 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999948919 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
93248bj1 46624b2 |
Quadratic twists by: -4 8 |