Atkin-Lehner |
2+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
54208bf |
Isogeny class |
Conductor |
54208 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2002510422212608 = 221 · 72 · 117 |
Discriminant |
Eigenvalues |
2+ 0 4 7- 11- 2 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3633388,-2665726800] |
[a1,a2,a3,a4,a6] |
Generators |
[52254517941605054670447160:-4058734168000910688421314084:7868944235757712081625] |
Generators of the group modulo torsion |
j |
11422548526761/4312 |
j-invariant |
L |
8.6331802732639 |
L(r)(E,1)/r! |
Ω |
0.1093507132573 |
Real period |
R |
39.474732336438 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54208by2 1694g2 4928i2 |
Quadratic twists by: -4 8 -11 |