Atkin-Lehner |
2- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
9800bd |
Isogeny class |
Conductor |
9800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
150528 |
Modular degree for the optimal curve |
Δ |
-1.26105021875E+19 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- 3 1 -5 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,262967,-162866563] |
[a1,a2,a3,a4,a6] |
Generators |
[20746:1071875:8] |
Generators of the group modulo torsion |
j |
12459008/78125 |
j-invariant |
L |
3.6515911112241 |
L(r)(E,1)/r! |
Ω |
0.11234182468621 |
Real period |
R |
2.0315180485003 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19600k1 78400be1 88200co1 1960c1 |
Quadratic twists by: -4 8 -3 5 |