Atkin-Lehner |
2- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
78400lg |
Isogeny class |
Conductor |
78400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
-42875000000 = -1 · 26 · 59 · 73 |
Discriminant |
Eigenvalues |
2- 3 5- 7- -3 -3 -7 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-274750,-55431250] |
[a1,a2,a3,a4,a6] |
j |
-53497400832 |
j-invariant |
L |
3.7535105754053 |
L(r)(E,1)/r! |
Ω |
0.10426418029848 |
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 |
78400lm1 39200db1 78400ln1 78400lo1 |
Quadratic twists by: -4 8 5 -7 |