Atkin-Lehner |
2+ 3- 37+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
18426b |
Isogeny class |
Conductor |
18426 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
8160 |
Modular degree for the optimal curve |
Δ |
1767127104 = 26 · 35 · 372 · 83 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 0 -2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-322,-940] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:41:1] |
Generators of the group modulo torsion |
j |
3675793187737/1767127104 |
j-invariant |
L |
3.7743318763892 |
L(r)(E,1)/r! |
Ω |
1.1826675511397 |
Real period |
R |
0.63827436082983 |
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 |
55278e1 |
Quadratic twists by: -3 |