Atkin-Lehner |
2- 5- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
79040cf |
Isogeny class |
Conductor |
79040 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
119808 |
Modular degree for the optimal curve |
Δ |
-85489664000 = -1 · 214 · 53 · 133 · 19 |
Discriminant |
Eigenvalues |
2- 1 5- -3 2 13- 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-24785,-1510225] |
[a1,a2,a3,a4,a6] |
Generators |
[185:520:1] |
Generators of the group modulo torsion |
j |
-102775137127504/5217875 |
j-invariant |
L |
7.3460019416053 |
L(r)(E,1)/r! |
Ω |
0.19024775696416 |
Real period |
R |
2.1451565340338 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001008 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79040bc1 19760a1 |
Quadratic twists by: -4 8 |