Atkin-Lehner |
2+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
22736m |
Isogeny class |
Conductor |
22736 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-8687970172672 = -1 · 28 · 79 · 292 |
Discriminant |
Eigenvalues |
2+ -2 2 7- 0 -2 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,3708,113308] |
[a1,a2,a3,a4,a6] |
j |
187153328/288463 |
j-invariant |
L |
1.9958167680172 |
L(r)(E,1)/r! |
Ω |
0.49895419200432 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11368l1 90944ee1 3248a1 |
Quadratic twists by: -4 8 -7 |