Atkin-Lehner |
2+ 3+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
3150b |
Isogeny class |
Conductor |
3150 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
23625000000 = 26 · 33 · 59 · 7 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 0 -2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1167,13741] |
[a1,a2,a3,a4,a6] |
Generators |
[9:58:1] |
Generators of the group modulo torsion |
j |
416832723/56000 |
j-invariant |
L |
2.4659950987965 |
L(r)(E,1)/r! |
Ω |
1.1548396293793 |
Real period |
R |
0.53383929596397 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25200cx1 100800c1 3150w3 630h1 |
Quadratic twists by: -4 8 -3 5 |