Atkin-Lehner |
2- 3+ 5- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
44400bs |
Isogeny class |
Conductor |
44400 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
-851627520000 = -1 · 212 · 35 · 54 · 372 |
Discriminant |
Eigenvalues |
2- 3+ 5- -1 2 -1 4 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1333,48637] |
[a1,a2,a3,a4,a6] |
Generators |
[12:185:1] |
Generators of the group modulo torsion |
j |
-102400000/332667 |
j-invariant |
L |
5.2212098274437 |
L(r)(E,1)/r! |
Ω |
0.78105858339279 |
Real period |
R |
1.1141310734056 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999907 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2775h1 44400cp1 |
Quadratic twists by: -4 5 |