Atkin-Lehner |
2- 3- 5- 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
14430bo |
Isogeny class |
Conductor |
14430 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
25600 |
Modular degree for the optimal curve |
Δ |
80789529600 = 210 · 38 · 52 · 13 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 -2 13+ -4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-4330,108452] |
[a1,a2,a3,a4,a6] |
Generators |
[44:-82:1] |
Generators of the group modulo torsion |
j |
8978290843324321/80789529600 |
j-invariant |
L |
8.5548292589812 |
L(r)(E,1)/r! |
Ω |
1.0882540407911 |
Real period |
R |
0.19652647585765 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
115440bz1 43290k1 72150k1 |
Quadratic twists by: -4 -3 5 |