Atkin-Lehner |
2- 3+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
24276c |
Isogeny class |
Conductor |
24276 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
497664 |
Modular degree for the optimal curve |
Δ |
-1968050245035780864 = -1 · 28 · 33 · 74 · 179 |
Discriminant |
Eigenvalues |
2- 3+ 3 7+ 3 -1 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-866229,317855601] |
[a1,a2,a3,a4,a6] |
j |
-11632923639808/318495051 |
j-invariant |
L |
3.1408346623227 |
L(r)(E,1)/r! |
Ω |
0.26173622186023 |
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 |
97104cu1 72828r1 1428e1 |
Quadratic twists by: -4 -3 17 |