Atkin-Lehner |
2- 3+ 5+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
93840bh |
Isogeny class |
Conductor |
93840 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
539136 |
Modular degree for the optimal curve |
Δ |
-50436852940800 = -1 · 218 · 39 · 52 · 17 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 3 5 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-59856,-5626944] |
[a1,a2,a3,a4,a6] |
Generators |
[12567062:391127670:12167] |
Generators of the group modulo torsion |
j |
-5790207030877009/12313684800 |
j-invariant |
L |
7.2275500235125 |
L(r)(E,1)/r! |
Ω |
0.15259373063004 |
Real period |
R |
11.841164745859 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012743 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11730l1 |
Quadratic twists by: -4 |