Atkin-Lehner |
2+ 3+ 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
48510g |
Isogeny class |
Conductor |
48510 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1128960 |
Modular degree for the optimal curve |
Δ |
-798818789704320000 = -1 · 210 · 39 · 54 · 78 · 11 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 11+ -6 -5 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-351339,91050245] |
[a1,a2,a3,a4,a6] |
Generators |
[1654:62677:1] [-479:12457:1] |
Generators of the group modulo torsion |
j |
-42269574627/7040000 |
j-invariant |
L |
7.4513717286403 |
L(r)(E,1)/r! |
Ω |
0.27255612002528 |
Real period |
R |
0.56955943971816 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48510ca1 48510e1 |
Quadratic twists by: -3 -7 |