Atkin-Lehner |
3- 23- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
5037h |
Isogeny class |
Conductor |
5037 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
347553 = 32 · 232 · 73 |
Discriminant |
Eigenvalues |
1 3- 4 -2 -2 -2 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3504,-80111] |
[a1,a2,a3,a4,a6] |
Generators |
[319190:5438733:1000] |
Generators of the group modulo torsion |
j |
4755955967570809/347553 |
j-invariant |
L |
6.158040299348 |
L(r)(E,1)/r! |
Ω |
0.62054514264944 |
Real period |
R |
9.9235976178236 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
80592n2 15111d2 125925d2 115851t2 |
Quadratic twists by: -4 -3 5 -23 |