Atkin-Lehner |
3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
40425ce |
Isogeny class |
Conductor |
40425 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
165099782925 = 36 · 52 · 77 · 11 |
Discriminant |
Eigenvalues |
0 3- 5+ 7- 11+ 5 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-2123,-32896] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:73:1] |
Generators of the group modulo torsion |
j |
359956480/56133 |
j-invariant |
L |
6.167229996885 |
L(r)(E,1)/r! |
Ω |
0.71069329914957 |
Real period |
R |
0.72314714897213 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121275ea1 40425bf1 5775b1 |
Quadratic twists by: -3 5 -7 |