Atkin-Lehner |
3+ 5+ 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
24675a |
Isogeny class |
Conductor |
24675 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-485991474609375 = -1 · 32 · 510 · 76 · 47 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7- -2 4 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,6725,1042000] |
[a1,a2,a3,a4,a6] |
j |
2152185214031/31103454375 |
j-invariant |
L |
2.3338190938871 |
L(r)(E,1)/r! |
Ω |
0.38896984898118 |
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 |
74025x1 4935d1 |
Quadratic twists by: -3 5 |