Atkin-Lehner |
2- 3- 7+ 17- 59- |
Signs for the Atkin-Lehner involutions |
Class |
42126v |
Isogeny class |
Conductor |
42126 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-202529886805386 = -1 · 2 · 35 · 7 · 173 · 594 |
Discriminant |
Eigenvalues |
2- 3- 1 7+ -3 -1 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,9185,595763] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:6031:8] |
Generators of the group modulo torsion |
j |
85695543765271439/202529886805386 |
j-invariant |
L |
11.281184666733 |
L(r)(E,1)/r! |
Ω |
0.39307502947282 |
Real period |
R |
0.47833042128781 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126378f1 |
Quadratic twists by: -3 |