Atkin-Lehner |
2+ 5+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
19520c |
Isogeny class |
Conductor |
19520 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3712 |
Modular degree for the optimal curve |
Δ |
-9994240 = -1 · 215 · 5 · 61 |
Discriminant |
Eigenvalues |
2+ 0 5+ -4 -2 -7 1 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,52,-48] |
[a1,a2,a3,a4,a6] |
Generators |
[2:8:1] |
Generators of the group modulo torsion |
j |
474552/305 |
j-invariant |
L |
2.7544314117778 |
L(r)(E,1)/r! |
Ω |
1.3124952513039 |
Real period |
R |
0.5246555004754 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19520b1 9760h1 97600d1 |
Quadratic twists by: -4 8 5 |