Atkin-Lehner |
2- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
78400le |
Isogeny class |
Conductor |
78400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4515840 |
Modular degree for the optimal curve |
Δ |
-5044200875000000 = -1 · 26 · 59 · 79 |
Discriminant |
Eigenvalues |
2- 3 5- 7- 3 3 7 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13462750,-19012918750] |
[a1,a2,a3,a4,a6] |
j |
-53497400832 |
j-invariant |
L |
7.7239985277304 |
L(r)(E,1)/r! |
Ω |
0.039408155960253 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
49 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78400lo1 39200dc1 78400ll1 78400lm1 |
Quadratic twists by: -4 8 5 -7 |