Atkin-Lehner |
2+ 3- 5- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
72450cc |
Isogeny class |
Conductor |
72450 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2365440 |
Modular degree for the optimal curve |
Δ |
4.1723271072E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -4 -4 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1191492,-392145584] |
[a1,a2,a3,a4,a6] |
j |
131383171726253/29303586816 |
j-invariant |
L |
0.58722488501068 |
L(r)(E,1)/r! |
Ω |
0.14680622194669 |
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 |
24150ca1 72450ew1 |
Quadratic twists by: -3 5 |