Atkin-Lehner |
2- 3+ 7+ 17- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
42126p |
Isogeny class |
Conductor |
42126 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
66240 |
Modular degree for the optimal curve |
Δ |
-17537222304 = -1 · 25 · 33 · 73 · 17 · 592 |
Discriminant |
Eigenvalues |
2- 3+ 3 7+ -5 -5 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1189,16523] |
[a1,a2,a3,a4,a6] |
Generators |
[13:-66:1] |
Generators of the group modulo torsion |
j |
-185905442648017/17537222304 |
j-invariant |
L |
8.0227488139641 |
L(r)(E,1)/r! |
Ω |
1.201468722649 |
Real period |
R |
0.6677451241743 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999948 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126378j1 |
Quadratic twists by: -3 |