Atkin-Lehner |
2- 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
95200bk |
Isogeny class |
Conductor |
95200 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
423936 |
Modular degree for the optimal curve |
Δ |
-1812637908032000 = -1 · 29 · 53 · 78 · 173 |
Discriminant |
Eigenvalues |
2- -1 5- 7- 2 -1 17- 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-103888,13084772] |
[a1,a2,a3,a4,a6] |
Generators |
[232:-1190:1] |
Generators of the group modulo torsion |
j |
-1937510546240296/28322467313 |
j-invariant |
L |
5.668446531202 |
L(r)(E,1)/r! |
Ω |
0.47124095424837 |
Real period |
R |
0.12529963178826 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999970336 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95200n1 95200l1 |
Quadratic twists by: -4 5 |