Atkin-Lehner |
2+ 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
122304ek |
Isogeny class |
Conductor |
122304 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
1990656 |
Modular degree for the optimal curve |
Δ |
-441927303004422144 = -1 · 221 · 39 · 77 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 3 7- -3 13- 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,42271,-31794561] |
[a1,a2,a3,a4,a6] |
j |
270840023/14329224 |
j-invariant |
L |
5.1192169152572 |
L(r)(E,1)/r! |
Ω |
0.14220050759652 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122304gj1 3822f1 17472i1 |
Quadratic twists by: -4 8 -7 |