Atkin-Lehner |
2+ 5- 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
16520a |
Isogeny class |
Conductor |
16520 |
Conductor |
∏ cp |
392 |
Product of Tamagawa factors cp |
deg |
150528 |
Modular degree for the optimal curve |
Δ |
-57335063660000000 = -1 · 28 · 57 · 77 · 592 |
Discriminant |
Eigenvalues |
2+ -1 5- 7- -3 -5 -5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,19935,11462725] |
[a1,a2,a3,a4,a6] |
Generators |
[-95:2950:1] [-83:3038:1] |
Generators of the group modulo torsion |
j |
3422241717607424/223965092421875 |
j-invariant |
L |
6.2192230083061 |
L(r)(E,1)/r! |
Ω |
0.26870740850066 |
Real period |
R |
0.059043272776254 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33040b1 82600m1 115640e1 |
Quadratic twists by: -4 5 -7 |