Atkin-Lehner |
2- 3- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
65712w |
Isogeny class |
Conductor |
65712 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
2697584220611328 = 28 · 3 · 378 |
Discriminant |
Eigenvalues |
2- 3- 0 0 -4 2 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-38788,-1562536] |
[a1,a2,a3,a4,a6] |
Generators |
[-13159987428094:147264400497183:126354865832] |
Generators of the group modulo torsion |
j |
9826000/4107 |
j-invariant |
L |
7.8934559950709 |
L(r)(E,1)/r! |
Ω |
0.35305781029407 |
Real period |
R |
22.357403703402 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996034 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16428a2 1776h2 |
Quadratic twists by: -4 37 |