Atkin-Lehner |
2+ 3- 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
49728bh |
Isogeny class |
Conductor |
49728 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1413070848 = 214 · 32 · 7 · 372 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ 0 -4 -8 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1393,-20401] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:9:1] [98:891:1] |
Generators of the group modulo torsion |
j |
18258658000/86247 |
j-invariant |
L |
10.773199746051 |
L(r)(E,1)/r! |
Ω |
0.78164446013397 |
Real period |
R |
6.891368323781 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999987 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49728dj2 3108b2 |
Quadratic twists by: -4 8 |