Atkin-Lehner |
2+ 3- 5- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
127200bl |
Isogeny class |
Conductor |
127200 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
450240 |
Modular degree for the optimal curve |
Δ |
-23182200000000 = -1 · 29 · 37 · 58 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 5- -3 5 -2 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-21208,1204088] |
[a1,a2,a3,a4,a6] |
Generators |
[158:1350:1] |
Generators of the group modulo torsion |
j |
-5274889160/115911 |
j-invariant |
L |
8.1241458586909 |
L(r)(E,1)/r! |
Ω |
0.67546697365705 |
Real period |
R |
0.28636788097058 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999143245 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127200o1 127200cg1 |
Quadratic twists by: -4 5 |