Atkin-Lehner |
2- 3- 5- 103- |
Signs for the Atkin-Lehner involutions |
Class |
46350cp |
Isogeny class |
Conductor |
46350 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
211680 |
Modular degree for the optimal curve |
Δ |
-386698050000000 = -1 · 27 · 36 · 58 · 1032 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 3 -2 3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-131555,18422947] |
[a1,a2,a3,a4,a6] |
Generators |
[215:98:1] |
Generators of the group modulo torsion |
j |
-884209406985/1357952 |
j-invariant |
L |
9.1449053566676 |
L(r)(E,1)/r! |
Ω |
0.53407995053634 |
Real period |
R |
1.2230519509675 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5150i1 46350j1 |
Quadratic twists by: -3 5 |