Atkin-Lehner |
3- 5- 7- 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
123165s |
Isogeny class |
Conductor |
123165 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
51587534005875 = 36 · 53 · 7 · 172 · 234 |
Discriminant |
Eigenvalues |
1 3- 5- 7- 0 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-12138099,-16273956970] |
[a1,a2,a3,a4,a6] |
j |
271299023094371060963889/70764792875 |
j-invariant |
L |
3.8824253536904 |
L(r)(E,1)/r! |
Ω |
0.080883862862728 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13685d3 |
Quadratic twists by: -3 |