Atkin-Lehner |
2+ 5- 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
30160g |
Isogeny class |
Conductor |
30160 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
3583423001600 = 210 · 52 · 136 · 29 |
Discriminant |
Eigenvalues |
2+ 2 5- 0 -2 13+ 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4280,59072] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:390:1] |
Generators of the group modulo torsion |
j |
8469475757284/3499436525 |
j-invariant |
L |
8.3545412374479 |
L(r)(E,1)/r! |
Ω |
0.71499089325554 |
Real period |
R |
2.9212054713758 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15080i2 120640ce2 |
Quadratic twists by: -4 8 |