Atkin-Lehner |
3+ 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
46827i |
Isogeny class |
Conductor |
46827 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
464640 |
Modular degree for the optimal curve |
Δ |
-10701438416163 = -1 · 33 · 118 · 432 |
Discriminant |
Eigenvalues |
2 3+ 0 -1 11- 6 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1018215,-395464391] |
[a1,a2,a3,a4,a6] |
Generators |
[15240556849704546778660862:-3217676114289929185575024847:341738232358830351416] |
Generators of the group modulo torsion |
j |
-20171441664000/1849 |
j-invariant |
L |
12.531301545154 |
L(r)(E,1)/r! |
Ω |
0.075146660251169 |
Real period |
R |
41.68948261729 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46827j1 46827d1 |
Quadratic twists by: -3 -11 |