Atkin-Lehner |
2- 3+ 5- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
12450s |
Isogeny class |
Conductor |
12450 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
627336576000 = 210 · 310 · 53 · 83 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 6 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2266428,1312346781] |
[a1,a2,a3,a4,a6] |
Generators |
[565:14297:1] |
Generators of the group modulo torsion |
j |
10300053769617070951829/5018692608 |
j-invariant |
L |
6.3035627812605 |
L(r)(E,1)/r! |
Ω |
0.55518443083549 |
Real period |
R |
1.1353997754898 |
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 |
99600dl2 37350x2 12450l2 |
Quadratic twists by: -4 -3 5 |