Atkin-Lehner |
2- 3+ 5- 101- |
Signs for the Atkin-Lehner involutions |
Class |
24240bd |
Isogeny class |
Conductor |
24240 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
86400 |
Modular degree for the optimal curve |
Δ |
-411763212288000 = -1 · 227 · 35 · 53 · 101 |
Discriminant |
Eigenvalues |
2- 3+ 5- 3 2 -3 -7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-17760,-1329408] |
[a1,a2,a3,a4,a6] |
j |
-151257563987041/100528128000 |
j-invariant |
L |
2.4097350347978 |
L(r)(E,1)/r! |
Ω |
0.20081125289982 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3030u1 96960dd1 72720bi1 121200dp1 |
Quadratic twists by: -4 8 -3 5 |