Atkin-Lehner |
2- 3- 5- 41- |
Signs for the Atkin-Lehner involutions |
Class |
12300p |
Isogeny class |
Conductor |
12300 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-7564500000000 = -1 · 28 · 32 · 59 · 412 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -6 6 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,4292,77588] |
[a1,a2,a3,a4,a6] |
Generators |
[26:2421:8] |
Generators of the group modulo torsion |
j |
17483632/15129 |
j-invariant |
L |
5.5354297079951 |
L(r)(E,1)/r! |
Ω |
0.48210306813255 |
Real period |
R |
5.7409193945155 |
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 |
49200cm2 36900o2 12300i2 |
Quadratic twists by: -4 -3 5 |