Atkin-Lehner |
2+ 3- 7- 17+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
100674q |
Isogeny class |
Conductor |
100674 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
22442585016145896 = 23 · 37 · 7 · 17 · 476 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 2 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-117621,13781677] |
[a1,a2,a3,a4,a6] |
Generators |
[251:32:1] |
Generators of the group modulo torsion |
j |
246861215441353297/30785438979624 |
j-invariant |
L |
6.5953285767043 |
L(r)(E,1)/r! |
Ω |
0.36767320721062 |
Real period |
R |
4.4845044750892 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000025949 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33558bf2 |
Quadratic twists by: -3 |