Atkin-Lehner |
2- 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
72600ej |
Isogeny class |
Conductor |
72600 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
164736 |
Modular degree for the optimal curve |
Δ |
-102892262880000 = -1 · 28 · 3 · 54 · 118 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 11- 1 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,11092,193488] |
[a1,a2,a3,a4,a6] |
Generators |
[282:5082:1] |
Generators of the group modulo torsion |
j |
4400/3 |
j-invariant |
L |
8.0258217247749 |
L(r)(E,1)/r! |
Ω |
0.37619090644861 |
Real period |
R |
1.7778698676183 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000263 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72600e1 72600bx1 |
Quadratic twists by: 5 -11 |