Atkin-Lehner |
2+ 3- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
27342q |
Isogeny class |
Conductor |
27342 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
-42539996016 = -1 · 24 · 36 · 76 · 31 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 0 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-303,10205] |
[a1,a2,a3,a4,a6] |
Generators |
[-82:923:8] [2:-99:1] |
Generators of the group modulo torsion |
j |
-35937/496 |
j-invariant |
L |
5.4892125392766 |
L(r)(E,1)/r! |
Ω |
0.96778819089202 |
Real period |
R |
1.4179787971525 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999981 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3038i1 558c1 |
Quadratic twists by: -3 -7 |