Atkin-Lehner |
2- 3- 7+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
41832t |
Isogeny class |
Conductor |
41832 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
238080 |
Modular degree for the optimal curve |
Δ |
-2461209104338992 = -1 · 24 · 38 · 710 · 83 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ -4 4 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-151014,-22713563] |
[a1,a2,a3,a4,a6] |
Generators |
[22619753:-2293520670:2197] |
Generators of the group modulo torsion |
j |
-32653356854904832/211009011003 |
j-invariant |
L |
6.1699370326158 |
L(r)(E,1)/r! |
Ω |
0.12104519481733 |
Real period |
R |
12.743044120674 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83664y1 13944h1 |
Quadratic twists by: -4 -3 |