Atkin-Lehner |
2+ 3- 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
79344i |
Isogeny class |
Conductor |
79344 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1990656 |
Modular degree for the optimal curve |
Δ |
9136871770278085632 = 210 · 37 · 193 · 296 |
Discriminant |
Eigenvalues |
2+ 3- -4 0 4 4 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-647067,137792410] |
[a1,a2,a3,a4,a6] |
j |
40136914388511076/12239679476217 |
j-invariant |
L |
1.7123291871423 |
L(r)(E,1)/r! |
Ω |
0.21404114261363 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39672g1 26448f1 |
Quadratic twists by: -4 -3 |