Atkin-Lehner |
3- 7+ 11+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
46431b |
Isogeny class |
Conductor |
46431 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
362496 |
Modular degree for the optimal curve |
Δ |
7818933969 = 39 · 72 · 112 · 67 |
Discriminant |
Eigenvalues |
-1 3- -2 7+ 11+ -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2011046,1098196076] |
[a1,a2,a3,a4,a6] |
j |
1233848948194057675033/10725561 |
j-invariant |
L |
0.65326774945566 |
L(r)(E,1)/r! |
Ω |
0.6532677490869 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
15477c1 |
Quadratic twists by: -3 |