Atkin-Lehner |
2- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
78400io |
Isogeny class |
Conductor |
78400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-2104533975040000000 = -1 · 239 · 57 · 72 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- 3 1 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-253633,-85459137] |
[a1,a2,a3,a4,a6] |
Generators |
[3977439:76185600:4913] |
Generators of the group modulo torsion |
j |
-8990558521/10485760 |
j-invariant |
L |
4.3797121566152 |
L(r)(E,1)/r! |
Ω |
0.10178971270864 |
Real period |
R |
5.378382602927 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999992471 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78400ch2 19600cr2 15680dr2 78400gj2 |
Quadratic twists by: -4 8 5 -7 |