Atkin-Lehner |
2- 3+ 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
102336br |
Isogeny class |
Conductor |
102336 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
17294784 = 26 · 3 · 133 · 41 |
Discriminant |
Eigenvalues |
2- 3+ -3 2 -3 13+ 3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-92,-246] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:8:1] |
Generators of the group modulo torsion |
j |
1360251712/270231 |
j-invariant |
L |
3.2510552782388 |
L(r)(E,1)/r! |
Ω |
1.5615198353592 |
Real period |
R |
2.0819814075317 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000041614 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102336ci1 51168i1 |
Quadratic twists by: -4 8 |