Atkin-Lehner |
2- 3- 7- 19+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
102942bo |
Isogeny class |
Conductor |
102942 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
608256 |
Modular degree for the optimal curve |
Δ |
-971484492754944 = -1 · 212 · 39 · 73 · 19 · 432 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 2 -6 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,24736,74243] |
[a1,a2,a3,a4,a6] |
Generators |
[141:2449:1] |
Generators of the group modulo torsion |
j |
2296154253894983/1332626190336 |
j-invariant |
L |
13.755258225844 |
L(r)(E,1)/r! |
Ω |
0.29771458705745 |
Real period |
R |
1.2834121092654 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003637 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34314i1 |
Quadratic twists by: -3 |