Atkin-Lehner |
5- 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
101675bc |
Isogeny class |
Conductor |
101675 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
205824 |
Modular degree for the optimal curve |
Δ |
-709173465875 = -1 · 53 · 77 · 832 |
Discriminant |
Eigenvalues |
0 -3 5- 7- 1 -5 -5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-490,40731] |
[a1,a2,a3,a4,a6] |
Generators |
[-35:122:1] [-5:207:1] |
Generators of the group modulo torsion |
j |
-884736/48223 |
j-invariant |
L |
5.6240160505547 |
L(r)(E,1)/r! |
Ω |
0.74821179532624 |
Real period |
R |
0.93957621439349 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001453 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101675x1 14525f1 |
Quadratic twists by: 5 -7 |