Atkin-Lehner |
2- 3+ 5- 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
14430ba |
Isogeny class |
Conductor |
14430 |
Conductor |
∏ cp |
200 |
Product of Tamagawa factors cp |
deg |
64000 |
Modular degree for the optimal curve |
Δ |
4612982400000 = 210 · 34 · 55 · 13 · 372 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 0 13+ 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-68160,6820065] |
[a1,a2,a3,a4,a6] |
Generators |
[223:-1777:1] |
Generators of the group modulo torsion |
j |
35019735020165514241/4612982400000 |
j-invariant |
L |
5.7352703132361 |
L(r)(E,1)/r! |
Ω |
0.74501158790363 |
Real period |
R |
0.15396459347362 |
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 |
115440cz1 43290i1 72150bi1 |
Quadratic twists by: -4 -3 5 |