Atkin-Lehner |
2+ 3+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
41616c |
Isogeny class |
Conductor |
41616 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
120960 |
Modular degree for the optimal curve |
Δ |
-91014192 = -1 · 24 · 39 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -5 -6 5 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-57834,-5353317] |
[a1,a2,a3,a4,a6] |
Generators |
[874953078:110471961213:54872] |
Generators of the group modulo torsion |
j |
-235052181504 |
j-invariant |
L |
4.714218032033 |
L(r)(E,1)/r! |
Ω |
0.1539301707907 |
Real period |
R |
15.312846103574 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20808v1 41616d1 41616l1 |
Quadratic twists by: -4 -3 17 |