Atkin-Lehner |
2- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
13552p |
Isogeny class |
Conductor |
13552 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
-6938624 = -1 · 213 · 7 · 112 |
Discriminant |
Eigenvalues |
2- 1 2 7+ 11- 7 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,48,20] |
[a1,a2,a3,a4,a6] |
Generators |
[10:40:1] |
Generators of the group modulo torsion |
j |
24167/14 |
j-invariant |
L |
6.3722579279518 |
L(r)(E,1)/r! |
Ω |
1.4171324420428 |
Real period |
R |
1.1241465051012 |
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 |
1694h1 54208cc1 121968en1 94864cp1 |
Quadratic twists by: -4 8 -3 -7 |