Atkin-Lehner |
2- 3+ 31+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
55056n |
Isogeny class |
Conductor |
55056 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
-10824450048 = -1 · 220 · 32 · 31 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 0 -3 4 -7 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1408,-20480] |
[a1,a2,a3,a4,a6] |
Generators |
[64:384:1] |
Generators of the group modulo torsion |
j |
-75418890625/2642688 |
j-invariant |
L |
3.5036626220773 |
L(r)(E,1)/r! |
Ω |
0.38886578495713 |
Real period |
R |
1.1262441816728 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6882k1 |
Quadratic twists by: -4 |