Atkin-Lehner |
2- 3+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
53856r |
Isogeny class |
Conductor |
53856 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2819255611392 = 212 · 39 · 112 · 172 |
Discriminant |
Eigenvalues |
2- 3+ -4 2 11- 6 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-42012,-3313440] |
[a1,a2,a3,a4,a6] |
Generators |
[366:5508:1] |
Generators of the group modulo torsion |
j |
101716765632/34969 |
j-invariant |
L |
5.0828116063989 |
L(r)(E,1)/r! |
Ω |
0.33347645471449 |
Real period |
R |
1.9052363122379 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000023 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53856a2 107712c1 53856b2 |
Quadratic twists by: -4 8 -3 |