Atkin-Lehner |
2+ 3- 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
53424j |
Isogeny class |
Conductor |
53424 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-754061224863744 = -1 · 211 · 310 · 76 · 53 |
Discriminant |
Eigenvalues |
2+ 3- -1 7- -5 0 7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-84243,-9503566] |
[a1,a2,a3,a4,a6] |
Generators |
[439:6174:1] |
Generators of the group modulo torsion |
j |
-44286127310882/505067157 |
j-invariant |
L |
5.7053582221006 |
L(r)(E,1)/r! |
Ω |
0.14002031396076 |
Real period |
R |
1.6977769334391 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999461 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26712b1 17808d1 |
Quadratic twists by: -4 -3 |