Atkin-Lehner |
2- 3- 5- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
97650ew |
Isogeny class |
Conductor |
97650 |
Conductor |
∏ cp |
324 |
Product of Tamagawa factors cp |
Δ |
-925829063147520000 = -1 · 218 · 312 · 54 · 73 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 5 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-746447630,7849779418397] |
[a1,a2,a3,a4,a6] |
j |
-100951830078347638795482025/2031997943808 |
j-invariant |
L |
5.2190064992873 |
L(r)(E,1)/r! |
Ω |
0.14497240407567 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
32550bj2 97650bb2 |
Quadratic twists by: -3 5 |