Atkin-Lehner |
2+ 3+ 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
13650l |
Isogeny class |
Conductor |
13650 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-262080000000 = -1 · 212 · 32 · 57 · 7 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -4 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,1600,0] |
[a1,a2,a3,a4,a6] |
Generators |
[25:225:1] |
Generators of the group modulo torsion |
j |
28962726911/16773120 |
j-invariant |
L |
2.8126680309239 |
L(r)(E,1)/r! |
Ω |
0.58423453175777 |
Real period |
R |
2.4071394945293 |
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 |
109200fo1 40950es1 2730y1 95550dz1 |
Quadratic twists by: -4 -3 5 -7 |