Atkin-Lehner |
2+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
59248n |
Isogeny class |
Conductor |
59248 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
247296 |
Modular degree for the optimal curve |
Δ |
3227665569341696 = 28 · 7 · 239 |
Discriminant |
Eigenvalues |
2+ 2 2 7- 0 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-44612,-2368960] |
[a1,a2,a3,a4,a6] |
Generators |
[-48678874646111111760:-397380600041090584555:364434985433935872] |
Generators of the group modulo torsion |
j |
21296/7 |
j-invariant |
L |
10.888790625057 |
L(r)(E,1)/r! |
Ω |
0.33713164703956 |
Real period |
R |
32.298334258301 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999928 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29624m1 59248e1 |
Quadratic twists by: -4 -23 |