Atkin-Lehner |
2- 3- 5+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
46350bt |
Isogeny class |
Conductor |
46350 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
-901044000000 = -1 · 28 · 37 · 56 · 103 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 2 -3 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-333905,74348097] |
[a1,a2,a3,a4,a6] |
Generators |
[335:-204:1] |
Generators of the group modulo torsion |
j |
-361446235206337/79104 |
j-invariant |
L |
10.205700842674 |
L(r)(E,1)/r! |
Ω |
0.70307217921756 |
Real period |
R |
0.45362078142275 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15450c1 1854d1 |
Quadratic twists by: -3 5 |