Atkin-Lehner |
3+ 5- 37- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
101565c |
Isogeny class |
Conductor |
101565 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
57600 |
Modular degree for the optimal curve |
Δ |
10428186375 = 33 · 53 · 373 · 61 |
Discriminant |
Eigenvalues |
1 3+ 5- -2 2 -5 -1 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1014,11673] |
[a1,a2,a3,a4,a6] |
Generators |
[72:-591:1] |
Generators of the group modulo torsion |
j |
4272821089083/386229125 |
j-invariant |
L |
6.581695273787 |
L(r)(E,1)/r! |
Ω |
1.251291885035 |
Real period |
R |
0.29221778051928 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000161 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101565b1 |
Quadratic twists by: -3 |