Atkin-Lehner |
2+ 3- 5- 11- 61- |
Signs for the Atkin-Lehner involutions |
Class |
100650bg |
Isogeny class |
Conductor |
100650 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
155904 |
Modular degree for the optimal curve |
Δ |
-488302971750 = -1 · 2 · 37 · 53 · 114 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 5- 1 11- 1 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-6571,207188] |
[a1,a2,a3,a4,a6] |
Generators |
[52:56:1] |
Generators of the group modulo torsion |
j |
-250964960037533/3906423774 |
j-invariant |
L |
6.3916650266062 |
L(r)(E,1)/r! |
Ω |
0.93440003931104 |
Real period |
R |
0.12214990431009 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007528 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100650cc1 |
Quadratic twists by: 5 |