Atkin-Lehner |
2- 3- 5- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
99450dv |
Isogeny class |
Conductor |
99450 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
31365988992000 = 210 · 38 · 53 · 133 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 -4 13- 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-33575,2360927] |
[a1,a2,a3,a4,a6] |
Generators |
[63:670:1] |
Generators of the group modulo torsion |
j |
45932714112797/344208384 |
j-invariant |
L |
8.7853697145449 |
L(r)(E,1)/r! |
Ω |
0.66243263771477 |
Real period |
R |
0.22103806546478 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999887003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33150bd1 99450bq1 |
Quadratic twists by: -3 5 |