Atkin-Lehner |
2+ 3+ 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
48720g |
Isogeny class |
Conductor |
48720 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
5596239395250000 = 24 · 38 · 56 · 76 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -4 -2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-49131,2164806] |
[a1,a2,a3,a4,a6] |
Generators |
[18:1134:1] |
Generators of the group modulo torsion |
j |
819746139709179904/349764962203125 |
j-invariant |
L |
3.6854633259396 |
L(r)(E,1)/r! |
Ω |
0.38620017275068 |
Real period |
R |
1.5904806134168 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999747 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24360l1 |
Quadratic twists by: -4 |