Atkin-Lehner |
2+ 3+ 5- 41- |
Signs for the Atkin-Lehner involutions |
Class |
49200q |
Isogeny class |
Conductor |
49200 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
8064 |
Modular degree for the optimal curve |
Δ |
-19680000 = -1 · 28 · 3 · 54 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 3 -2 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-33,237] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:17:1] |
Generators of the group modulo torsion |
j |
-25600/123 |
j-invariant |
L |
4.5154592205612 |
L(r)(E,1)/r! |
Ω |
1.8808253054468 |
Real period |
R |
2.4007860844242 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000026 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24600bk1 49200bd1 |
Quadratic twists by: -4 5 |