Atkin-Lehner |
3+ 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
24255v |
Isogeny class |
Conductor |
24255 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
1229760 |
Modular degree for the optimal curve |
Δ |
31722853197853125 = 33 · 55 · 710 · 113 |
Discriminant |
Eigenvalues |
0 3+ 5- 7- 11- -5 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-50665902,-138810328148] |
[a1,a2,a3,a4,a6] |
j |
1885935710810898432/4159375 |
j-invariant |
L |
1.6976254008328 |
L(r)(E,1)/r! |
Ω |
0.056587513361096 |
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 |
24255f2 121275bc1 24255c1 |
Quadratic twists by: -3 5 -7 |