Atkin-Lehner |
2- 5- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
79040bw |
Isogeny class |
Conductor |
79040 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-1294991360 = -1 · 220 · 5 · 13 · 19 |
Discriminant |
Eigenvalues |
2- 1 5- 1 0 13+ 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-111905,-14445985] |
[a1,a2,a3,a4,a6] |
j |
-591202341974089/4940 |
j-invariant |
L |
2.3492507006442 |
L(r)(E,1)/r! |
Ω |
0.13051392857875 |
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 |
79040s1 19760r1 |
Quadratic twists by: -4 8 |