Atkin-Lehner |
2- 3- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
30324i |
Isogeny class |
Conductor |
30324 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
-110651912112 = -1 · 24 · 3 · 72 · 196 |
Discriminant |
Eigenvalues |
2- 3- 4 7+ 2 6 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-481,16352] |
[a1,a2,a3,a4,a6] |
j |
-16384/147 |
j-invariant |
L |
5.4118160392053 |
L(r)(E,1)/r! |
Ω |
0.9019693398677 |
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 |
121296cl1 90972e1 84b1 |
Quadratic twists by: -4 -3 -19 |