Atkin-Lehner |
2- 3+ 5+ 11+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
100650bm |
Isogeny class |
Conductor |
100650 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
829440 |
Modular degree for the optimal curve |
Δ |
-3008786436562500 = -1 · 22 · 315 · 57 · 11 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 11+ -2 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-125588,17280281] |
[a1,a2,a3,a4,a6] |
Generators |
[205:347:1] |
Generators of the group modulo torsion |
j |
-14020010380589689/192562331940 |
j-invariant |
L |
9.5741232079796 |
L(r)(E,1)/r! |
Ω |
0.45192572207634 |
Real period |
R |
2.6481462412648 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999989556 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20130f1 |
Quadratic twists by: 5 |