Atkin-Lehner |
2+ 3- 7+ 17+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
42126h |
Isogeny class |
Conductor |
42126 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
56448 |
Modular degree for the optimal curve |
Δ |
396321408 = 27 · 32 · 73 · 17 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 4 7+ 0 2 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1914,32044] |
[a1,a2,a3,a4,a6] |
j |
774860097633049/396321408 |
j-invariant |
L |
3.3284405964822 |
L(r)(E,1)/r! |
Ω |
1.6642202982806 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126378bk1 |
Quadratic twists by: -3 |