Atkin-Lehner |
2- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
13552o |
Isogeny class |
Conductor |
13552 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-244447073024 = -1 · 28 · 72 · 117 |
Discriminant |
Eigenvalues |
2- 1 -1 7+ 11- 4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2581,54943] |
[a1,a2,a3,a4,a6] |
Generators |
[51:242:1] |
Generators of the group modulo torsion |
j |
-4194304/539 |
j-invariant |
L |
5.0727994255588 |
L(r)(E,1)/r! |
Ω |
0.95766371794324 |
Real period |
R |
0.33106607064362 |
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 |
3388f1 54208ca1 121968dx1 94864ck1 |
Quadratic twists by: -4 8 -3 -7 |