Atkin-Lehner |
2- 3+ 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
18480bv |
Isogeny class |
Conductor |
18480 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
786839961600000000 = 222 · 34 · 58 · 72 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 11+ -2 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10560016,13211692480] |
[a1,a2,a3,a4,a6] |
Generators |
[-936:149248:1] |
Generators of the group modulo torsion |
j |
31794905164720991157649/192099600000000 |
j-invariant |
L |
3.822151909956 |
L(r)(E,1)/r! |
Ω |
0.25224893193643 |
Real period |
R |
3.7880754148438 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
2310r2 73920ik2 55440ev2 92400ge2 |
Quadratic twists by: -4 8 -3 5 |