Atkin-Lehner |
2- 3- 5+ 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
103320bc |
Isogeny class |
Conductor |
103320 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
72632852409600 = 28 · 39 · 52 · 73 · 412 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 6 2 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-445143,-114312742] |
[a1,a2,a3,a4,a6] |
j |
52270284460645456/389193525 |
j-invariant |
L |
1.4786482940275 |
L(r)(E,1)/r! |
Ω |
0.18483102060061 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34440d2 |
Quadratic twists by: -3 |