Atkin-Lehner |
2+ 3+ 5- 83- |
Signs for the Atkin-Lehner involutions |
Class |
12450d |
Isogeny class |
Conductor |
12450 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-378168750000 = -1 · 24 · 36 · 58 · 83 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 3 -1 -4 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,1300,24000] |
[a1,a2,a3,a4,a6] |
Generators |
[35:320:1] |
Generators of the group modulo torsion |
j |
621257495/968112 |
j-invariant |
L |
3.2224094155116 |
L(r)(E,1)/r! |
Ω |
0.64833013671167 |
Real period |
R |
0.41419348377249 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99600dg1 37350bv1 12450x1 |
Quadratic twists by: -4 -3 5 |