Atkin-Lehner |
2- 3- 7+ 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
100464bv |
Isogeny class |
Conductor |
100464 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
36133039767552 = 224 · 3 · 74 · 13 · 23 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 0 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-17024,798900] |
[a1,a2,a3,a4,a6] |
Generators |
[-375:27440:27] |
Generators of the group modulo torsion |
j |
133221434726017/8821542912 |
j-invariant |
L |
6.6240539156968 |
L(r)(E,1)/r! |
Ω |
0.63931682540991 |
Real period |
R |
5.1805721803821 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999929941 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12558o1 |
Quadratic twists by: -4 |