Atkin-Lehner |
3- 5+ 7+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
105525p |
Isogeny class |
Conductor |
105525 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
70116416015625 = 37 · 510 · 72 · 67 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ -4 6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-48042,4044991] |
[a1,a2,a3,a4,a6] |
Generators |
[-1178:23089:8] |
Generators of the group modulo torsion |
j |
1076575468249/6155625 |
j-invariant |
L |
6.9279765836547 |
L(r)(E,1)/r! |
Ω |
0.61956458581553 |
Real period |
R |
2.7955021632737 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000034518 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35175d1 21105l1 |
Quadratic twists by: -3 5 |