Atkin-Lehner |
2+ 5- 103- |
Signs for the Atkin-Lehner involutions |
Class |
41200s |
Isogeny class |
Conductor |
41200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
16896 |
Modular degree for the optimal curve |
Δ |
-16480000 = -1 · 28 · 54 · 103 |
Discriminant |
Eigenvalues |
2+ 0 5- -1 0 -5 -5 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2375,44550] |
[a1,a2,a3,a4,a6] |
Generators |
[29:8:1] |
Generators of the group modulo torsion |
j |
-9259650000/103 |
j-invariant |
L |
4.4221859640387 |
L(r)(E,1)/r! |
Ω |
1.9933874299027 |
Real period |
R |
1.109213868238 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20600f1 41200a1 |
Quadratic twists by: -4 5 |