Atkin-Lehner |
2- 3+ 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
42042cq |
Isogeny class |
Conductor |
42042 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-2422628208 = -1 · 24 · 32 · 76 · 11 · 13 |
Discriminant |
Eigenvalues |
2- 3+ -4 7- 11- 13- -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-50,2351] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:49:1] |
Generators of the group modulo torsion |
j |
-117649/20592 |
j-invariant |
L |
5.5849075677154 |
L(r)(E,1)/r! |
Ω |
1.185391227202 |
Real period |
R |
0.58893083561297 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
126126ci1 858m1 |
Quadratic twists by: -3 -7 |