Atkin-Lehner |
2- 3+ 5- 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
31980c |
Isogeny class |
Conductor |
31980 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
70908614400 = 28 · 3 · 52 · 133 · 412 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 -2 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-35220,2555832] |
[a1,a2,a3,a4,a6] |
j |
18874007902716496/276986775 |
j-invariant |
L |
1.0004323241077 |
L(r)(E,1)/r! |
Ω |
1.0004323241076 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127920cc2 95940a2 |
Quadratic twists by: -4 -3 |