Atkin-Lehner |
3- 5+ 19- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
101175o |
Isogeny class |
Conductor |
101175 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
-20274521484375 = -1 · 34 · 510 · 192 · 71 |
Discriminant |
Eigenvalues |
-1 3- 5+ -2 2 -4 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-35588,2590167] |
[a1,a2,a3,a4,a6] |
Generators |
[67:679:1] |
Generators of the group modulo torsion |
j |
-319018004775289/1297569375 |
j-invariant |
L |
4.1087278988888 |
L(r)(E,1)/r! |
Ω |
0.68667813413043 |
Real period |
R |
0.74793554833039 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011366 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20235e1 |
Quadratic twists by: 5 |