Atkin-Lehner |
2+ 3- 23+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
24426b |
Isogeny class |
Conductor |
24426 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
13440 |
Modular degree for the optimal curve |
Δ |
-4326992622 = -1 · 2 · 313 · 23 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 0 0 5 -5 -5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-117,-3173] |
[a1,a2,a3,a4,a6] |
j |
-244140625/5935518 |
j-invariant |
L |
1.1969254680471 |
L(r)(E,1)/r! |
Ω |
0.5984627340235 |
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 |
8142e1 |
Quadratic twists by: -3 |