Atkin-Lehner |
2+ 17+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
42194a |
Isogeny class |
Conductor |
42194 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
32590738764352 = 26 · 178 · 73 |
Discriminant |
Eigenvalues |
2+ 0 0 0 2 4 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-127792,-17549376] |
[a1,a2,a3,a4,a6] |
Generators |
[72961862475:1518938760669:107171875] |
Generators of the group modulo torsion |
j |
9561875765625/1350208 |
j-invariant |
L |
4.1111476448789 |
L(r)(E,1)/r! |
Ω |
0.25250917238485 |
Real period |
R |
16.281181416319 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999917 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2482a1 |
Quadratic twists by: 17 |