Atkin-Lehner |
2- 3+ 5+ 11- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
100650bp |
Isogeny class |
Conductor |
100650 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
-22262169600000000 = -1 · 220 · 34 · 58 · 11 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 11- 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-68063,-9940219] |
[a1,a2,a3,a4,a6] |
Generators |
[395:4802:1] |
Generators of the group modulo torsion |
j |
-2231707882611241/1424778854400 |
j-invariant |
L |
9.7385747257026 |
L(r)(E,1)/r! |
Ω |
0.14365119610584 |
Real period |
R |
1.6948300790964 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003459 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20130h1 |
Quadratic twists by: 5 |