Atkin-Lehner |
2- 3+ 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
49632g |
Isogeny class |
Conductor |
49632 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
881664 |
Modular degree for the optimal curve |
Δ |
180740026707172416 = 26 · 314 · 112 · 474 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 11- -2 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1610522,786951120] |
[a1,a2,a3,a4,a6] |
Generators |
[-6286734048672:-118271140999100:4767078987] |
Generators of the group modulo torsion |
j |
7218450671538135120832/2824062917299569 |
j-invariant |
L |
5.7605623514925 |
L(r)(E,1)/r! |
Ω |
0.31469413420196 |
Real period |
R |
18.305273996018 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999756 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
49632c1 99264p2 |
Quadratic twists by: -4 8 |