Atkin-Lehner |
2+ 5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
74800k |
Isogeny class |
Conductor |
74800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1327104 |
Modular degree for the optimal curve |
Δ |
-287724932000000000 = -1 · 211 · 59 · 114 · 173 |
Discriminant |
Eigenvalues |
2+ 3 5+ -2 11- 3 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4075,-25807750] |
[a1,a2,a3,a4,a6] |
j |
-233860338/8991404125 |
j-invariant |
L |
4.4992652716436 |
L(r)(E,1)/r! |
Ω |
0.14060203966133 |
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 |
37400m1 14960a1 |
Quadratic twists by: -4 5 |