Atkin-Lehner |
3+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
42483b |
Isogeny class |
Conductor |
42483 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
311040 |
Modular degree for the optimal curve |
Δ |
69189266427039171 = 35 · 74 · 179 |
Discriminant |
Eigenvalues |
-1 3+ -1 7+ 2 1 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-156066,-20139540] |
[a1,a2,a3,a4,a6] |
Generators |
[-288:1155:1] |
Generators of the group modulo torsion |
j |
7253758561/1193859 |
j-invariant |
L |
2.4277520285025 |
L(r)(E,1)/r! |
Ω |
0.24288144753353 |
Real period |
R |
1.6659376094515 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999908 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127449t1 42483u1 2499i1 |
Quadratic twists by: -3 -7 17 |