Atkin-Lehner |
2- 7- 17+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
116144s |
Isogeny class |
Conductor |
116144 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
353280 |
Modular degree for the optimal curve |
Δ |
1142217703424 = 216 · 75 · 17 · 61 |
Discriminant |
Eigenvalues |
2- 2 -3 7- 2 6 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-52232,4611824] |
[a1,a2,a3,a4,a6] |
Generators |
[130:42:1] |
Generators of the group modulo torsion |
j |
3847530273220873/278861744 |
j-invariant |
L |
9.6586391569113 |
L(r)(E,1)/r! |
Ω |
0.82629782489001 |
Real period |
R |
1.1689053084138 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000019117 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14518a1 |
Quadratic twists by: -4 |