Atkin-Lehner |
2+ 5- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
98800x |
Isogeny class |
Conductor |
98800 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
218880 |
Modular degree for the optimal curve |
Δ |
-470913218750000 = -1 · 24 · 59 · 133 · 193 |
Discriminant |
Eigenvalues |
2+ -1 5- -1 -2 13- 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1417,-1044338] |
[a1,a2,a3,a4,a6] |
Generators |
[642:16250:1] |
Generators of the group modulo torsion |
j |
10061824/15069223 |
j-invariant |
L |
3.5739573011332 |
L(r)(E,1)/r! |
Ω |
0.24452913610818 |
Real period |
R |
2.4359451039596 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999716395 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49400bc1 98800s1 |
Quadratic twists by: -4 5 |