Atkin-Lehner |
2+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
13552d |
Isogeny class |
Conductor |
13552 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
219648 |
Modular degree for the optimal curve |
Δ |
-1449326695959296 = -1 · 28 · 74 · 119 |
Discriminant |
Eigenvalues |
2+ 3 -3 7- 11+ 4 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-218284,39296444] |
[a1,a2,a3,a4,a6] |
j |
-1905527808/2401 |
j-invariant |
L |
3.8202456891063 |
L(r)(E,1)/r! |
Ω |
0.47753071113829 |
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 |
6776d1 54208co1 121968bu1 94864k1 |
Quadratic twists by: -4 8 -3 -7 |