Atkin-Lehner |
2+ 3- 5- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
123600p |
Isogeny class |
Conductor |
123600 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
576000 |
Modular degree for the optimal curve |
Δ |
-28644300000000 = -1 · 28 · 33 · 58 · 1032 |
Discriminant |
Eigenvalues |
2+ 3- 5- -3 0 5 -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-149833,22274963] |
[a1,a2,a3,a4,a6] |
Generators |
[1786:309:8] |
Generators of the group modulo torsion |
j |
-3720052218880/286443 |
j-invariant |
L |
8.1080248704365 |
L(r)(E,1)/r! |
Ω |
0.63258191818632 |
Real period |
R |
2.1362252512321 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000083648 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61800c1 123600g1 |
Quadratic twists by: -4 5 |