Atkin-Lehner |
3+ 5+ 19- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
12255a |
Isogeny class |
Conductor |
12255 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-59102609765625 = -1 · 33 · 58 · 194 · 43 |
Discriminant |
Eigenvalues |
1 3+ 5+ 0 4 -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,1492,369837] |
[a1,a2,a3,a4,a6] |
j |
366923296278071/59102609765625 |
j-invariant |
L |
0.96355285211654 |
L(r)(E,1)/r! |
Ω |
0.48177642605827 |
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 |
36765a3 61275n3 |
Quadratic twists by: -3 5 |