Atkin-Lehner |
2+ 3- 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
83520bg |
Isogeny class |
Conductor |
83520 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-110603217484800 = -1 · 210 · 311 · 52 · 293 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 -3 -3 -1 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-145308,-21325768] |
[a1,a2,a3,a4,a6] |
Generators |
[1181:38135:1] |
Generators of the group modulo torsion |
j |
-454532354823424/148163175 |
j-invariant |
L |
6.1552536977867 |
L(r)(E,1)/r! |
Ω |
0.1222612088346 |
Real period |
R |
4.1954256205448 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83520fc1 10440w1 27840t1 |
Quadratic twists by: -4 8 -3 |