Atkin-Lehner |
3+ 23+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
5037b |
Isogeny class |
Conductor |
5037 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-5276107452807 = -1 · 316 · 23 · 732 |
Discriminant |
Eigenvalues |
1 3+ 0 2 6 -2 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-9855,-396576] |
[a1,a2,a3,a4,a6] |
Generators |
[6985086275970:-157608567543879:13789468792] |
Generators of the group modulo torsion |
j |
-105867450150549625/5276107452807 |
j-invariant |
L |
4.1820936851449 |
L(r)(E,1)/r! |
Ω |
0.23888570264616 |
Real period |
R |
17.506672181799 |
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 |
80592w2 15111h2 125925y2 115851c2 |
Quadratic twists by: -4 -3 5 -23 |