Atkin-Lehner |
2- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
2450y |
Isogeny class |
Conductor |
2450 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-40353607000000 = -1 · 26 · 56 · 79 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- 0 -4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,5487,263017] |
[a1,a2,a3,a4,a6] |
Generators |
[-24:355:1] |
Generators of the group modulo torsion |
j |
9938375/21952 |
j-invariant |
L |
3.3629720129559 |
L(r)(E,1)/r! |
Ω |
0.44809782432921 |
Real period |
R |
0.62541626522254 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19600cp3 78400cc3 22050bi3 98a3 |
Quadratic twists by: -4 8 -3 5 |