Atkin-Lehner |
2- 3- 5+ 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
122010cy |
Isogeny class |
Conductor |
122010 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
893558567002500 = 22 · 32 · 54 · 78 · 832 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-57576,5114556] |
[a1,a2,a3,a4,a6] |
Generators |
[152106:3750847:216] |
Generators of the group modulo torsion |
j |
179415687049201/7595122500 |
j-invariant |
L |
13.045475250937 |
L(r)(E,1)/r! |
Ω |
0.49365318070402 |
Real period |
R |
6.6065994052986 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008191 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
17430z2 |
Quadratic twists by: -7 |