Atkin-Lehner |
2+ 3- 5+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
7770j |
Isogeny class |
Conductor |
7770 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
3168 |
Modular degree for the optimal curve |
Δ |
-92517390 = -1 · 2 · 36 · 5 · 73 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 -1 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,41,-448] |
[a1,a2,a3,a4,a6] |
j |
7892485271/92517390 |
j-invariant |
L |
1.8723362060602 |
L(r)(E,1)/r! |
Ω |
0.93616810303008 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
62160bh1 23310bw1 38850bt1 54390m1 |
Quadratic twists by: -4 -3 5 -7 |