Atkin-Lehner |
2- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
78400lf |
Isogeny class |
Conductor |
78400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-2744000 = -1 · 26 · 53 · 73 |
Discriminant |
Eigenvalues |
2- 3 5- 7- 3 3 7 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10990,443450] |
[a1,a2,a3,a4,a6] |
j |
-53497400832 |
j-invariant |
L |
7.3329407317061 |
L(r)(E,1)/r! |
Ω |
1.8332351852731 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78400ln1 39200bk1 78400lm1 78400ll1 |
Quadratic twists by: -4 8 5 -7 |