Atkin-Lehner |
2+ 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
123200cz |
Isogeny class |
Conductor |
123200 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
232925000000 = 26 · 58 · 7 · 113 |
Discriminant |
Eigenvalues |
2+ 2 5- 7+ 11- 1 7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1583,-6463] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:75:1] |
Generators of the group modulo torsion |
j |
17559040/9317 |
j-invariant |
L |
11.257107227589 |
L(r)(E,1)/r! |
Ω |
0.80375469679699 |
Real period |
R |
1.5561833691895 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999991278 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123200dg1 61600bt1 123200ch1 |
Quadratic twists by: -4 8 5 |