Atkin-Lehner |
3+ 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
40425bf |
Isogeny class |
Conductor |
40425 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
2579684108203125 = 36 · 58 · 77 · 11 |
Discriminant |
Eigenvalues |
0 3+ 5- 7- 11+ -5 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-53083,-4005807] |
[a1,a2,a3,a4,a6] |
Generators |
[-107:661:1] |
Generators of the group modulo torsion |
j |
359956480/56133 |
j-invariant |
L |
2.7618794759736 |
L(r)(E,1)/r! |
Ω |
0.31783170561041 |
Real period |
R |
1.0862193053835 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999916 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121275gk1 40425ce1 5775y1 |
Quadratic twists by: -3 5 -7 |