Atkin-Lehner |
5- 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
101675ba |
Isogeny class |
Conductor |
101675 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
157696 |
Modular degree for the optimal curve |
Δ |
-34749499827875 = -1 · 53 · 79 · 832 |
Discriminant |
Eigenvalues |
0 -1 5- 7- -3 -3 -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-1143,284388] |
[a1,a2,a3,a4,a6] |
Generators |
[-68:207:1] [82:857:1] |
Generators of the group modulo torsion |
j |
-32768/6889 |
j-invariant |
L |
7.245115957491 |
L(r)(E,1)/r! |
Ω |
0.53303315028576 |
Real period |
R |
1.6990303399307 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001789 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101675u1 101675v1 |
Quadratic twists by: 5 -7 |