Atkin-Lehner |
3- 5- 7+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
49245z |
Isogeny class |
Conductor |
49245 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
deg |
907200 |
Modular degree for the optimal curve |
Δ |
950299341445125 = 39 · 53 · 78 · 67 |
Discriminant |
Eigenvalues |
-2 3- 5- 7+ 3 2 -2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-731390,-240992356] |
[a1,a2,a3,a4,a6] |
Generators |
[-494:67:1] |
Generators of the group modulo torsion |
j |
7505628075667456/164845125 |
j-invariant |
L |
4.4442641294008 |
L(r)(E,1)/r! |
Ω |
0.16325362106741 |
Real period |
R |
1.0082617101299 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49245k1 |
Quadratic twists by: -7 |