Atkin-Lehner |
2- 5- 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
127600bo |
Isogeny class |
Conductor |
127600 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
2592000 |
Modular degree for the optimal curve |
Δ |
-3.17676675712E+19 |
Discriminant |
Eigenvalues |
2- -2 5- 0 11+ -2 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-242208,-275110412] |
[a1,a2,a3,a4,a6] |
Generators |
[908:15950:1] [1227:35728:1] |
Generators of the group modulo torsion |
j |
-982134513985/19854792232 |
j-invariant |
L |
8.5706277478324 |
L(r)(E,1)/r! |
Ω |
0.089796088354206 |
Real period |
R |
1.5907574415375 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001876 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15950u1 127600y1 |
Quadratic twists by: -4 5 |