Atkin-Lehner |
3- 5+ 19+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
61275h |
Isogeny class |
Conductor |
61275 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-106969315344796875 = -1 · 3 · 56 · 192 · 436 |
Discriminant |
Eigenvalues |
-1 3- 5+ -4 4 -2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-786388,268808267] |
[a1,a2,a3,a4,a6] |
j |
-3442027642056789625/6846036182067 |
j-invariant |
L |
0.66993534916458 |
L(r)(E,1)/r! |
Ω |
0.33496767518021 |
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 |
2451b2 |
Quadratic twists by: 5 |