Atkin-Lehner |
2- 3+ 5- 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
14430bf |
Isogeny class |
Conductor |
14430 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
194781450240 = 212 · 32 · 5 · 134 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 -4 13- 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3640,-83335] |
[a1,a2,a3,a4,a6] |
Generators |
[-31:45:1] |
Generators of the group modulo torsion |
j |
5333782719807361/194781450240 |
j-invariant |
L |
6.5023632022816 |
L(r)(E,1)/r! |
Ω |
0.616024475022 |
Real period |
R |
1.7592275052733 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
115440di1 43290r1 72150y1 |
Quadratic twists by: -4 -3 5 |