Atkin-Lehner |
7- 19- 73- |
Signs for the Atkin-Lehner involutions |
Class |
9709b |
Isogeny class |
Conductor |
9709 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
7776 |
Modular degree for the optimal curve |
Δ |
55970452909 = 79 · 19 · 73 |
Discriminant |
Eigenvalues |
0 1 -3 7- 0 -4 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-1107,8092] |
[a1,a2,a3,a4,a6] |
Generators |
[-32:108:1] [-2:101:1] |
Generators of the group modulo torsion |
j |
150161581047808/55970452909 |
j-invariant |
L |
5.1578601671069 |
L(r)(E,1)/r! |
Ω |
1.0202630072705 |
Real period |
R |
5.055422112095 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999998 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
87381h1 67963c1 |
Quadratic twists by: -3 -7 |