Atkin-Lehner |
2- 7- 29+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
116522m |
Isogeny class |
Conductor |
116522 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-432529664 = -1 · 28 · 72 · 292 · 41 |
Discriminant |
Eigenvalues |
2- -1 3 7- 3 -4 -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-64,993] |
[a1,a2,a3,a4,a6] |
Generators |
[3:-31:1] |
Generators of the group modulo torsion |
j |
-592231633/8827136 |
j-invariant |
L |
10.379750890857 |
L(r)(E,1)/r! |
Ω |
1.4163758318363 |
Real period |
R |
0.458024215104 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000030975 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116522k1 |
Quadratic twists by: -7 |