Atkin-Lehner |
2- 3+ 5- 19- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
24510n |
Isogeny class |
Conductor |
24510 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
439156031602500 = 22 · 36 · 54 · 194 · 432 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 4 -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-22065,-767445] |
[a1,a2,a3,a4,a6] |
j |
1188055523119228561/439156031602500 |
j-invariant |
L |
3.2313123920601 |
L(r)(E,1)/r! |
Ω |
0.40391404900754 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
73530m2 122550y2 |
Quadratic twists by: -3 5 |