Atkin-Lehner |
2- 5- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
1850o |
Isogeny class |
Conductor |
1850 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
4320 |
Modular degree for the optimal curve |
Δ |
18944000000000 = 218 · 59 · 37 |
Discriminant |
Eigenvalues |
2- 0 5- -2 0 2 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-21430,-1183803] |
[a1,a2,a3,a4,a6] |
Generators |
[-87:171:1] |
Generators of the group modulo torsion |
j |
557238592989/9699328 |
j-invariant |
L |
3.940901636281 |
L(r)(E,1)/r! |
Ω |
0.39500649647033 |
Real period |
R |
1.1085335646364 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14800bd1 59200bs1 16650bi1 1850f1 |
Quadratic twists by: -4 8 -3 5 |