Atkin-Lehner |
2+ 3- 5+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
46350r |
Isogeny class |
Conductor |
46350 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
427680 |
Modular degree for the optimal curve |
Δ |
-25950866846515200 = -1 · 227 · 36 · 52 · 1032 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 -1 -6 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,24228,-7619504] |
[a1,a2,a3,a4,a6] |
Generators |
[7169085:41088566:42875] |
Generators of the group modulo torsion |
j |
86297613760535/1423915876352 |
j-invariant |
L |
3.8823235427751 |
L(r)(E,1)/r! |
Ω |
0.18370239785634 |
Real period |
R |
10.566883143806 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000014 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5150o1 46350ch1 |
Quadratic twists by: -3 5 |