Atkin-Lehner |
3+ 11- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
10659d |
Isogeny class |
Conductor |
10659 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
172800 |
Modular degree for the optimal curve |
Δ |
-8373157770642296049 = -1 · 39 · 112 · 175 · 195 |
Discriminant |
Eigenvalues |
1 3+ 3 -1 11- -2 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,155819,-137127782] |
[a1,a2,a3,a4,a6] |
Generators |
[10382:1053416:1] |
Generators of the group modulo torsion |
j |
418389325501837892903/8373157770642296049 |
j-invariant |
L |
5.2906499491842 |
L(r)(E,1)/r! |
Ω |
0.11307934041819 |
Real period |
R |
4.6787060568432 |
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 |
31977i1 117249d1 |
Quadratic twists by: -3 -11 |