Atkin-Lehner |
2- 3- 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
25410cs |
Isogeny class |
Conductor |
25410 |
Conductor |
∏ cp |
162 |
Product of Tamagawa factors cp |
Δ |
-3760045896499200 = -1 · 227 · 33 · 52 · 73 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 11- 1 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-404445,99010737] |
[a1,a2,a3,a4,a6] |
Generators |
[354:-657:1] |
Generators of the group modulo torsion |
j |
-60466777106735857561/31074759475200 |
j-invariant |
L |
10.216444926567 |
L(r)(E,1)/r! |
Ω |
0.43632259398065 |
Real period |
R |
0.14453634930981 |
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 |
76230p2 127050w2 25410bi2 |
Quadratic twists by: -3 5 -11 |