Atkin-Lehner |
2- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
9800bg |
Isogeny class |
Conductor |
9800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
184473632000000 = 211 · 56 · 78 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- 0 0 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-49408,4192812] |
[a1,a2,a3,a4,a6] |
Generators |
[12567:244216:27] |
Generators of the group modulo torsion |
j |
3543122/49 |
j-invariant |
L |
6.1657840477586 |
L(r)(E,1)/r! |
Ω |
0.57017692801935 |
Real period |
R |
5.4069041947883 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19600w2 78400cq2 88200bo2 392d2 |
Quadratic twists by: -4 8 -3 5 |