Atkin-Lehner |
2- 3- 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
107100x |
Isogeny class |
Conductor |
107100 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
4332275539200 = 28 · 39 · 52 · 7 · 173 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -3 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2756640,1761644180] |
[a1,a2,a3,a4,a6] |
Generators |
[949:513:1] |
Generators of the group modulo torsion |
j |
496542436313006080/928557 |
j-invariant |
L |
4.42775959911 |
L(r)(E,1)/r! |
Ω |
0.50358152897473 |
Real period |
R |
2.1981344250645 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000046177 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35700j2 107100cq2 |
Quadratic twists by: -3 5 |