Atkin-Lehner |
2- 7+ 17+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
101626o |
Isogeny class |
Conductor |
101626 |
Conductor |
∏ cp |
114 |
Product of Tamagawa factors cp |
deg |
368448 |
Modular degree for the optimal curve |
Δ |
-79628891324416 = -1 · 219 · 74 · 17 · 612 |
Discriminant |
Eigenvalues |
2- -2 -3 7+ 0 0 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-19797,1153249] |
[a1,a2,a3,a4,a6] |
Generators |
[-150:943:1] [-62:1495:1] |
Generators of the group modulo torsion |
j |
-357380681281393/33164886016 |
j-invariant |
L |
10.299558405616 |
L(r)(E,1)/r! |
Ω |
0.59581361338029 |
Real period |
R |
0.1516363532631 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000059 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101626bh1 |
Quadratic twists by: -7 |