Atkin-Lehner |
3+ 5+ 37- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
101565b |
Isogeny class |
Conductor |
101565 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
172800 |
Modular degree for the optimal curve |
Δ |
7602147867375 = 39 · 53 · 373 · 61 |
Discriminant |
Eigenvalues |
-1 3+ 5+ -2 -2 -5 1 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-9128,-306044] |
[a1,a2,a3,a4,a6] |
Generators |
[-67:70:1] [-44:116:1] |
Generators of the group modulo torsion |
j |
4272821089083/386229125 |
j-invariant |
L |
5.6883813810818 |
L(r)(E,1)/r! |
Ω |
0.491261203485 |
Real period |
R |
1.9298563710864 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000106 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101565c1 |
Quadratic twists by: -3 |