Atkin-Lehner |
2- 3- 7+ 17+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
100674bc |
Isogeny class |
Conductor |
100674 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
1966080 |
Modular degree for the optimal curve |
Δ |
7420665926967552 = 28 · 38 · 76 · 17 · 472 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 2 6 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3372800,-2383305181] |
[a1,a2,a3,a4,a6] |
Generators |
[-73061139:32359529:68921] |
Generators of the group modulo torsion |
j |
5820601014736120509625/10179239954688 |
j-invariant |
L |
11.621989948832 |
L(r)(E,1)/r! |
Ω |
0.1114043022789 |
Real period |
R |
6.5201644427483 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000018089 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33558f1 |
Quadratic twists by: -3 |