Atkin-Lehner |
2- 5- 13- 47- |
Signs for the Atkin-Lehner involutions |
Class |
122200bh |
Isogeny class |
Conductor |
122200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
99200 |
Modular degree for the optimal curve |
Δ |
-19093750000 = -1 · 24 · 59 · 13 · 47 |
Discriminant |
Eigenvalues |
2- 2 5- 5 0 13- 2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,292,-6463] |
[a1,a2,a3,a4,a6] |
Generators |
[13531:87375:343] |
Generators of the group modulo torsion |
j |
87808/611 |
j-invariant |
L |
13.231056093695 |
L(r)(E,1)/r! |
Ω |
0.60846833669289 |
Real period |
R |
5.4362138530744 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000067528 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122200m1 |
Quadratic twists by: 5 |