Atkin-Lehner |
2+ 3+ 5+ 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
113520d |
Isogeny class |
Conductor |
113520 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
15325200 = 24 · 34 · 52 · 11 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 1 11- -4 -8 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-76,-149] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:9:1] [11:15:1] |
Generators of the group modulo torsion |
j |
3074301184/957825 |
j-invariant |
L |
9.8098321125703 |
L(r)(E,1)/r! |
Ω |
1.6546027334208 |
Real period |
R |
1.4822035392963 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000002189 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56760s1 |
Quadratic twists by: -4 |