Atkin-Lehner |
2- 3- 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
72324l |
Isogeny class |
Conductor |
72324 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
113935766041827072 = 28 · 38 · 79 · 412 |
Discriminant |
Eigenvalues |
2- 3- -2 7- -6 0 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-27679071,-56049966826] |
[a1,a2,a3,a4,a6] |
j |
311407012011184/15129 |
j-invariant |
L |
0.26328230845378 |
L(r)(E,1)/r! |
Ω |
0.065820576001323 |
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 |
24108d2 72324s2 |
Quadratic twists by: -3 -7 |