Atkin-Lehner |
2- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
13552m |
Isogeny class |
Conductor |
13552 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-25174416736387072 = -1 · 224 · 7 · 118 |
Discriminant |
Eigenvalues |
2- 0 2 7+ 11- -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7139,-7637278] |
[a1,a2,a3,a4,a6] |
Generators |
[301917:31925366:27] |
Generators of the group modulo torsion |
j |
-5545233/3469312 |
j-invariant |
L |
4.9179346923022 |
L(r)(E,1)/r! |
Ω |
0.16980998680027 |
Real period |
R |
7.2403496180803 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1694d1 54208bw1 121968eh1 94864bz1 |
Quadratic twists by: -4 8 -3 -7 |