Atkin-Lehner |
2- 3- 7- 79- |
Signs for the Atkin-Lehner involutions |
Class |
69678bq |
Isogeny class |
Conductor |
69678 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
135168 |
Modular degree for the optimal curve |
Δ |
102403248192 = 26 · 310 · 73 · 79 |
Discriminant |
Eigenvalues |
2- 3- -2 7- -4 -2 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-8231,289055] |
[a1,a2,a3,a4,a6] |
Generators |
[39:142:1] |
Generators of the group modulo torsion |
j |
246609840511/409536 |
j-invariant |
L |
7.2123700504153 |
L(r)(E,1)/r! |
Ω |
1.0616612697504 |
Real period |
R |
0.56612297604412 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992135 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23226o1 69678bm1 |
Quadratic twists by: -3 -7 |