Atkin-Lehner |
5- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
79475bc |
Isogeny class |
Conductor |
79475 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
345600 |
Modular degree for the optimal curve |
Δ |
-1763173985546875 = -1 · 58 · 11 · 177 |
Discriminant |
Eigenvalues |
-1 -2 5- 3 11- 0 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3763,2021892] |
[a1,a2,a3,a4,a6] |
Generators |
[1061:34005:1] |
Generators of the group modulo torsion |
j |
-625/187 |
j-invariant |
L |
3.2222313001922 |
L(r)(E,1)/r! |
Ω |
0.38315224065307 |
Real period |
R |
4.2048968498966 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000213 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79475j1 4675r1 |
Quadratic twists by: 5 17 |