Atkin-Lehner |
2- 3+ 7+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
41832m |
Isogeny class |
Conductor |
41832 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
59904 |
Modular degree for the optimal curve |
Δ |
744151874256 = 24 · 39 · 73 · 832 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ -6 -4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3834,81405] |
[a1,a2,a3,a4,a6] |
Generators |
[-63:270:1] [-38:415:1] |
Generators of the group modulo torsion |
j |
19791046656/2362927 |
j-invariant |
L |
9.5023728576309 |
L(r)(E,1)/r! |
Ω |
0.86967456019466 |
Real period |
R |
5.4631774301318 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83664l1 41832b1 |
Quadratic twists by: -4 -3 |