Atkin-Lehner |
2- 3+ 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
114240fm |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
65536 |
Modular degree for the optimal curve |
Δ |
467927040 = 218 · 3 · 5 · 7 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 4 2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2401,46081] |
[a1,a2,a3,a4,a6] |
Generators |
[285:4736:1] |
Generators of the group modulo torsion |
j |
5841725401/1785 |
j-invariant |
L |
5.7758011833194 |
L(r)(E,1)/r! |
Ω |
1.628289385945 |
Real period |
R |
3.5471588764392 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000059824 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114240dz1 28560dx1 |
Quadratic twists by: -4 8 |