Atkin-Lehner |
2- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
78400gi |
Isogeny class |
Conductor |
78400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1935360 |
Modular degree for the optimal curve |
Δ |
-3.68947264E+19 |
Discriminant |
Eigenvalues |
2- 2 5+ 7+ -1 -3 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1177633,-571756863] |
[a1,a2,a3,a4,a6] |
j |
-15298178/3125 |
j-invariant |
L |
2.5803334352784 |
L(r)(E,1)/r! |
Ω |
0.071675929205452 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78400k1 19600e1 15680de1 78400in1 |
Quadratic twists by: -4 8 5 -7 |