Atkin-Lehner |
2- 3- 5- 47- |
Signs for the Atkin-Lehner involutions |
Class |
56400dh |
Isogeny class |
Conductor |
56400 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
-103956480000 = -1 · 217 · 33 · 54 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 -5 -2 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-808,17588] |
[a1,a2,a3,a4,a6] |
Generators |
[14:-96:1] |
Generators of the group modulo torsion |
j |
-22816825/40608 |
j-invariant |
L |
7.1867767111463 |
L(r)(E,1)/r! |
Ω |
0.94776447597282 |
Real period |
R |
0.63190600031473 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000164 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7050b1 56400bk1 |
Quadratic twists by: -4 5 |