Atkin-Lehner |
3- 5- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
70785y |
Isogeny class |
Conductor |
70785 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
-95928610635 = -1 · 38 · 5 · 113 · 133 |
Discriminant |
Eigenvalues |
-2 3- 5- 4 11+ 13+ -3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1947,-36270] |
[a1,a2,a3,a4,a6] |
Generators |
[110:1039:1] |
Generators of the group modulo torsion |
j |
-841232384/98865 |
j-invariant |
L |
3.7339217952922 |
L(r)(E,1)/r! |
Ω |
0.35700226027375 |
Real period |
R |
2.6147746185449 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999988868 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23595k1 70785z1 |
Quadratic twists by: -3 -11 |