Atkin-Lehner |
2- 3+ 7+ 19+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
102942z |
Isogeny class |
Conductor |
102942 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
119808 |
Modular degree for the optimal curve |
Δ |
67114683972 = 22 · 33 · 72 · 193 · 432 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 6 2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1031,2875] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:124:1] |
Generators of the group modulo torsion |
j |
4484778258771/2485729036 |
j-invariant |
L |
9.4510987765916 |
L(r)(E,1)/r! |
Ω |
0.95378466315414 |
Real period |
R |
2.4772621999223 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005292 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
102942a1 |
Quadratic twists by: -3 |