Atkin-Lehner |
3- 5- 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
53655s |
Isogeny class |
Conductor |
53655 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
-3452124973828125 = -1 · 3 · 58 · 79 · 73 |
Discriminant |
Eigenvalues |
1 3- 5- 7- -2 -1 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,11097,2791723] |
[a1,a2,a3,a4,a6] |
Generators |
[-627:43175:27] |
Generators of the group modulo torsion |
j |
3745539377/85546875 |
j-invariant |
L |
8.8754530654095 |
L(r)(E,1)/r! |
Ω |
0.33365898647491 |
Real period |
R |
1.6625232320239 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53655d1 |
Quadratic twists by: -7 |