Atkin-Lehner |
2- 5+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
94400ck |
Isogeny class |
Conductor |
94400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-48332800000000 = -1 · 221 · 58 · 59 |
Discriminant |
Eigenvalues |
2- 0 5+ 1 -5 -7 -1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1300,-334000] |
[a1,a2,a3,a4,a6] |
Generators |
[85:625:1] |
Generators of the group modulo torsion |
j |
59319/11800 |
j-invariant |
L |
3.9524753388137 |
L(r)(E,1)/r! |
Ω |
0.29957079399633 |
Real period |
R |
3.2984485006889 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999837676 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94400b1 23600j1 18880l1 |
Quadratic twists by: -4 8 5 |