Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
14700bk |
Isogeny class |
Conductor |
14700 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
138972881250000 = 24 · 33 · 58 · 77 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 6 -4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-75133,-7931512] |
[a1,a2,a3,a4,a6] |
j |
1594753024/4725 |
j-invariant |
L |
3.4609871466256 |
L(r)(E,1)/r! |
Ω |
0.28841559555214 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58800gi1 44100cp1 2940f1 2100b1 |
Quadratic twists by: -4 -3 5 -7 |