Atkin-Lehner |
2- 3+ 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
116064m |
Isogeny class |
Conductor |
116064 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
154368 |
Modular degree for the optimal curve |
Δ |
-3902920339968 = -1 · 29 · 39 · 13 · 313 |
Discriminant |
Eigenvalues |
2- 3+ -2 -3 -2 13- -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3051,-115074] |
[a1,a2,a3,a4,a6] |
Generators |
[69:54:1] [150:1674:1] |
Generators of the group modulo torsion |
j |
-311665752/387283 |
j-invariant |
L |
9.6625236874657 |
L(r)(E,1)/r! |
Ω |
0.30676421749344 |
Real period |
R |
2.6248508178307 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000149 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116064a1 116064b1 |
Quadratic twists by: -4 -3 |