Atkin-Lehner |
2- 3- 31+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
52452f |
Isogeny class |
Conductor |
52452 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
38016 |
Modular degree for the optimal curve |
Δ |
-798739056 = -1 · 24 · 36 · 31 · 472 |
Discriminant |
Eigenvalues |
2- 3- -3 -5 0 4 -4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,231,-151] |
[a1,a2,a3,a4,a6] |
Generators |
[1:9:1] [8:47:1] |
Generators of the group modulo torsion |
j |
116872448/68479 |
j-invariant |
L |
6.9958824519495 |
L(r)(E,1)/r! |
Ω |
0.93638409881692 |
Real period |
R |
0.62259729214307 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5828b1 |
Quadratic twists by: -3 |