Atkin-Lehner |
2- 3+ 5+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
46350bn |
Isogeny class |
Conductor |
46350 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
299520 |
Modular degree for the optimal curve |
Δ |
-8690625000000 = -1 · 26 · 33 · 511 · 103 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 3 -6 6 5 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-67730,6802897] |
[a1,a2,a3,a4,a6] |
Generators |
[179:-715:1] |
Generators of the group modulo torsion |
j |
-81447383542923/20600000 |
j-invariant |
L |
10.323197369922 |
L(r)(E,1)/r! |
Ω |
0.71546193632749 |
Real period |
R |
0.30059825820673 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46350e1 9270b1 |
Quadratic twists by: -3 5 |