Atkin-Lehner |
2+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
11200bq |
Isogeny class |
Conductor |
11200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-40140800000000 = -1 · 221 · 58 · 72 |
Discriminant |
Eigenvalues |
2+ -1 5- 7- -3 -2 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,7167,193537] |
[a1,a2,a3,a4,a6] |
Generators |
[1:448:1] |
Generators of the group modulo torsion |
j |
397535/392 |
j-invariant |
L |
3.5835952747836 |
L(r)(E,1)/r! |
Ω |
0.42482609540933 |
Real period |
R |
1.0544300695944 |
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 |
11200cw1 350b1 100800hz1 11200e1 |
Quadratic twists by: -4 8 -3 5 |