Atkin-Lehner |
2- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
2450x |
Isogeny class |
Conductor |
2450 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
216 |
Modular degree for the optimal curve |
Δ |
9800 = 23 · 52 · 72 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- 0 2 -3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-8,-8] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:2:1] |
Generators of the group modulo torsion |
j |
46585/8 |
j-invariant |
L |
3.3890609402069 |
L(r)(E,1)/r! |
Ω |
2.8701535457125 |
Real period |
R |
0.39359809922244 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19600cn1 78400ca1 22050bc1 2450q1 |
Quadratic twists by: -4 8 -3 5 |