Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
22176w |
Isogeny class |
Conductor |
22176 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
-1154630597750784 = -1 · 212 · 36 · 74 · 115 |
Discriminant |
Eigenvalues |
2- 3- -1 7- 11- -2 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-290568,60308624] |
[a1,a2,a3,a4,a6] |
Generators |
[320:308:1] |
Generators of the group modulo torsion |
j |
-908614343190016/386683451 |
j-invariant |
L |
5.1554689485374 |
L(r)(E,1)/r! |
Ω |
0.48009916954305 |
Real period |
R |
0.26845854333826 |
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 |
22176a1 44352bv1 2464e1 |
Quadratic twists by: -4 8 -3 |