Atkin-Lehner |
5- 29+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
51475d |
Isogeny class |
Conductor |
51475 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-5279056973875 = -1 · 53 · 296 · 71 |
Discriminant |
Eigenvalues |
1 0 5- 0 2 -2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-647,-110564] |
[a1,a2,a3,a4,a6] |
Generators |
[84:608:1] |
Generators of the group modulo torsion |
j |
-239830305597/42232455791 |
j-invariant |
L |
5.3942411004591 |
L(r)(E,1)/r! |
Ω |
0.34046621071385 |
Real period |
R |
3.9609225017746 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000000129 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
51475e2 |
Quadratic twists by: 5 |