Atkin-Lehner |
2- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
39200dc |
Isogeny class |
Conductor |
39200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4515840 |
Modular degree for the optimal curve |
Δ |
-322828856000000000 = -1 · 212 · 59 · 79 |
Discriminant |
Eigenvalues |
2- -3 5- 7- -3 -3 7 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-53851000,-152103350000] |
[a1,a2,a3,a4,a6] |
j |
-53497400832 |
j-invariant |
L |
0.22292619448434 |
L(r)(E,1)/r! |
Ω |
0.027865774313552 |
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 |
39200cz1 78400le1 39200bi1 39200da1 |
Quadratic twists by: -4 8 5 -7 |