Atkin-Lehner |
2- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
78400ji |
Isogeny class |
Conductor |
78400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-2.4179327893504E+22 |
Discriminant |
Eigenvalues |
2- 0 5- 7+ 3 5 -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-535251500,-4766345150000] |
[a1,a2,a3,a4,a6] |
Generators |
[44155356882924855908384858523940615050:7803481683287723994736099272762644224000:973610386619585500973402398173537] |
Generators of the group modulo torsion |
j |
-5745702166029/8192 |
j-invariant |
L |
6.8893668766439 |
L(r)(E,1)/r! |
Ω |
0.015693869920018 |
Real period |
R |
54.8730723505 |
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 |
78400dn2 19600df2 78400jj2 78400kd2 |
Quadratic twists by: -4 8 5 -7 |