Atkin-Lehner |
2- 3+ 7- 17+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
42126q |
Isogeny class |
Conductor |
42126 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
350208 |
Modular degree for the optimal curve |
Δ |
17376881985792 = 28 · 34 · 72 · 173 · 592 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 2 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-405929,99376535] |
[a1,a2,a3,a4,a6] |
Generators |
[375:-440:1] |
Generators of the group modulo torsion |
j |
7397313347568219875857/17376881985792 |
j-invariant |
L |
6.6619969834033 |
L(r)(E,1)/r! |
Ω |
0.5981202188869 |
Real period |
R |
0.6961390006799 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
126378w1 |
Quadratic twists by: -3 |