Atkin-Lehner |
2- 3+ 5+ 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
78960bt |
Isogeny class |
Conductor |
78960 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
2155603755110400 = 212 · 34 · 52 · 76 · 472 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -4 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-50496,3769920] |
[a1,a2,a3,a4,a6] |
Generators |
[-192:2520:1] |
Generators of the group modulo torsion |
j |
3476508505743169/526270448025 |
j-invariant |
L |
4.9865170554483 |
L(r)(E,1)/r! |
Ω |
0.44394547518297 |
Real period |
R |
0.93602280271354 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000512 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
4935e2 |
Quadratic twists by: -4 |