Atkin-Lehner |
2+ 3- 7+ 17- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
100674j |
Isogeny class |
Conductor |
100674 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
10616832 |
Modular degree for the optimal curve |
Δ |
1.1000129708854E+22 |
Discriminant |
Eigenvalues |
2+ 3- 4 7+ 2 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5604795,789318373] |
[a1,a2,a3,a4,a6] |
Generators |
[-466686:-69072257:1331] |
Generators of the group modulo torsion |
j |
26710094528889557753521/15089341164408799232 |
j-invariant |
L |
7.5378249883917 |
L(r)(E,1)/r! |
Ω |
0.11017106952096 |
Real period |
R |
5.7016064678545 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999970523 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11186d1 |
Quadratic twists by: -3 |