Atkin-Lehner |
2+ 5- 73- |
Signs for the Atkin-Lehner involutions |
Class |
116800bb |
Isogeny class |
Conductor |
116800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
-4672000000000 = -1 · 215 · 59 · 73 |
Discriminant |
Eigenvalues |
2+ 0 5- 4 -4 0 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-15500,750000] |
[a1,a2,a3,a4,a6] |
Generators |
[125:875:1] |
Generators of the group modulo torsion |
j |
-6434856/73 |
j-invariant |
L |
7.1266971897894 |
L(r)(E,1)/r! |
Ω |
0.77546767704798 |
Real period |
R |
2.2975481179886 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999746575 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116800bc1 58400f1 116800w1 |
Quadratic twists by: -4 8 5 |