Atkin-Lehner |
2+ 7- 103- |
Signs for the Atkin-Lehner involutions |
Class |
46144h |
Isogeny class |
Conductor |
46144 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
94208 |
Modular degree for the optimal curve |
Δ |
-38913605828608 = -1 · 216 · 78 · 103 |
Discriminant |
Eigenvalues |
2+ 2 0 7- 2 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-25473,-1584895] |
[a1,a2,a3,a4,a6] |
Generators |
[5520:35315:27] |
Generators of the group modulo torsion |
j |
-27893378330500/593774503 |
j-invariant |
L |
9.3405445906332 |
L(r)(E,1)/r! |
Ω |
0.18871253288915 |
Real period |
R |
6.1870192506724 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
46144k1 5768d1 |
Quadratic twists by: -4 8 |