Atkin-Lehner |
2+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
78400ea |
Isogeny class |
Conductor |
78400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-9039207968000000000 = -1 · 214 · 59 · 710 |
Discriminant |
Eigenvalues |
2+ 0 5- 7- 0 -4 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-269500,154350000] |
[a1,a2,a3,a4,a6] |
Generators |
[5474:403368:1] |
Generators of the group modulo torsion |
j |
-574992/2401 |
j-invariant |
L |
5.4464215750585 |
L(r)(E,1)/r! |
Ω |
0.20143853186466 |
Real period |
R |
3.3797044203357 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004603 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
78400ju2 4900p2 78400dz2 11200bb2 |
Quadratic twists by: -4 8 5 -7 |