Atkin-Lehner |
2+ 5- 7+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
24850i |
Isogeny class |
Conductor |
24850 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
266560 |
Modular degree for the optimal curve |
Δ |
14617888250000000 = 27 · 59 · 77 · 71 |
Discriminant |
Eigenvalues |
2+ 2 5- 7+ -3 5 8 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-61700,-1006000] |
[a1,a2,a3,a4,a6] |
j |
13300260993557/7484358784 |
j-invariant |
L |
2.6081336272951 |
L(r)(E,1)/r! |
Ω |
0.3260167034119 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24850be1 |
Quadratic twists by: 5 |