Atkin-Lehner |
2- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
78400gy |
Isogeny class |
Conductor |
78400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2.6353376E+21 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 4 6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6874700,6483386000] |
[a1,a2,a3,a4,a6] |
Generators |
[1511510:-15797600:1331] |
Generators of the group modulo torsion |
j |
74565301329/5468750 |
j-invariant |
L |
7.2382078037557 |
L(r)(E,1)/r! |
Ω |
0.14107335227275 |
Real period |
R |
6.4135143946488 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996336 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
78400y3 19600cc4 15680cb4 11200bu3 |
Quadratic twists by: -4 8 5 -7 |