Atkin-Lehner |
2- 5+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
94400ct |
Isogeny class |
Conductor |
94400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-18880000000000 = -1 · 215 · 510 · 59 |
Discriminant |
Eigenvalues |
2- 2 5+ -1 -3 5 5 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1633,211137] |
[a1,a2,a3,a4,a6] |
Generators |
[312:5475:1] |
Generators of the group modulo torsion |
j |
-941192/36875 |
j-invariant |
L |
9.7021965176185 |
L(r)(E,1)/r! |
Ω |
0.57184905443693 |
Real period |
R |
4.2415898200559 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006169 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94400cb1 47200d1 18880p1 |
Quadratic twists by: -4 8 5 |