Atkin-Lehner |
2+ 3- 5+ 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
24150y |
Isogeny class |
Conductor |
24150 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
419328 |
Modular degree for the optimal curve |
Δ |
264140625000000 = 26 · 3 · 513 · 72 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 0 -6 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2807151,1810049698] |
[a1,a2,a3,a4,a6] |
j |
156567200830221067489/16905000000 |
j-invariant |
L |
0.85201983653875 |
L(r)(E,1)/r! |
Ω |
0.42600991826937 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72450du1 4830u1 |
Quadratic twists by: -3 5 |