Atkin-Lehner |
2- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
58016q |
Isogeny class |
Conductor |
58016 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
-124809588736 = -1 · 212 · 77 · 37 |
Discriminant |
Eigenvalues |
2- 2 1 7- 3 -3 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3005,-64651] |
[a1,a2,a3,a4,a6] |
Generators |
[24095:318228:125] |
Generators of the group modulo torsion |
j |
-6229504/259 |
j-invariant |
L |
9.7670130423857 |
L(r)(E,1)/r! |
Ω |
0.32161807557381 |
Real period |
R |
7.5920896431132 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999774 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58016h1 116032r1 8288i1 |
Quadratic twists by: -4 8 -7 |