Atkin-Lehner |
2+ 3+ 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
116064b |
Isogeny class |
Conductor |
116064 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
51456 |
Modular degree for the optimal curve |
Δ |
-5353800192 = -1 · 29 · 33 · 13 · 313 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -3 2 13- 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-339,4262] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:62:1] |
Generators of the group modulo torsion |
j |
-311665752/387283 |
j-invariant |
L |
7.7599620234321 |
L(r)(E,1)/r! |
Ω |
1.2276604726655 |
Real period |
R |
0.52674458034273 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000022811 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116064l1 116064m1 |
Quadratic twists by: -4 -3 |