Atkin-Lehner |
2- 3+ 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
14100a |
Isogeny class |
Conductor |
14100 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6336 |
Modular degree for the optimal curve |
Δ |
881250000 = 24 · 3 · 58 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 0 -4 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1133,-14238] |
[a1,a2,a3,a4,a6] |
Generators |
[3748:21875:64] |
Generators of the group modulo torsion |
j |
643956736/3525 |
j-invariant |
L |
3.8772990423814 |
L(r)(E,1)/r! |
Ω |
0.82310127579446 |
Real period |
R |
4.7105977798892 |
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 |
56400cj1 42300i1 2820f1 |
Quadratic twists by: -4 -3 5 |