Atkin-Lehner |
2- 3- 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
106470ft |
Isogeny class |
Conductor |
106470 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
2580480 |
Modular degree for the optimal curve |
Δ |
68184597978527940 = 22 · 38 · 5 · 72 · 139 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 2 13+ 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3125687,-2126175541] |
[a1,a2,a3,a4,a6] |
Generators |
[-8672004512199:3195437352008:8477185319] |
Generators of the group modulo torsion |
j |
959781554388721/19377540 |
j-invariant |
L |
12.980925925779 |
L(r)(E,1)/r! |
Ω |
0.11354387718651 |
Real period |
R |
14.290649399249 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000258 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35490bd1 8190h1 |
Quadratic twists by: -3 13 |