Atkin-Lehner |
3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
40425y |
Isogeny class |
Conductor |
40425 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
162151572515625 = 36 · 56 · 76 · 112 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7- 11- -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-14113,-208594] |
[a1,a2,a3,a4,a6] |
Generators |
[-64:693:1] |
Generators of the group modulo torsion |
j |
169112377/88209 |
j-invariant |
L |
2.4242003654701 |
L(r)(E,1)/r! |
Ω |
0.46392771194642 |
Real period |
R |
1.306345958135 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999916 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
121275de2 1617j2 825b2 |
Quadratic twists by: -3 5 -7 |