Atkin-Lehner |
2- 3- 31+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
55056s |
Isogeny class |
Conductor |
55056 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
62208 |
Modular degree for the optimal curve |
Δ |
-2403027910656 = -1 · 221 · 33 · 31 · 372 |
Discriminant |
Eigenvalues |
2- 3- 1 2 3 1 3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1280,76212] |
[a1,a2,a3,a4,a6] |
Generators |
[-44:222:1] |
Generators of the group modulo torsion |
j |
-56667352321/586676736 |
j-invariant |
L |
9.6468263277172 |
L(r)(E,1)/r! |
Ω |
0.69567675733664 |
Real period |
R |
1.1555685675905 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999937 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6882h1 |
Quadratic twists by: -4 |