Atkin-Lehner |
2+ 3- 5- 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
129150bt |
Isogeny class |
Conductor |
129150 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-270211504500 = -1 · 22 · 38 · 53 · 72 · 412 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 0 -4 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,153,24961] |
[a1,a2,a3,a4,a6] |
Generators |
[20:-199:1] [-16:143:1] |
Generators of the group modulo torsion |
j |
4330747/2965284 |
j-invariant |
L |
9.0859009168592 |
L(r)(E,1)/r! |
Ω |
0.76362860034064 |
Real period |
R |
0.74364528417115 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999965162 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43050bl2 129150dx2 |
Quadratic twists by: -3 5 |