Atkin-Lehner |
2+ 3- 7- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
53088i |
Isogeny class |
Conductor |
53088 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
11264 |
Modular degree for the optimal curve |
Δ |
-25163712 = -1 · 26 · 32 · 7 · 792 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 0 -2 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,58,192] |
[a1,a2,a3,a4,a6] |
Generators |
[26:165:8] |
Generators of the group modulo torsion |
j |
331373888/393183 |
j-invariant |
L |
9.2119360546877 |
L(r)(E,1)/r! |
Ω |
1.4181628283703 |
Real period |
R |
3.2478414574057 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000024 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53088b1 106176bo2 |
Quadratic twists by: -4 8 |