Atkin-Lehner |
2- 3+ 17+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
102306p |
Isogeny class |
Conductor |
102306 |
Conductor |
∏ cp |
102 |
Product of Tamagawa factors cp |
deg |
2585088 |
Modular degree for the optimal curve |
Δ |
-3.3138257292978E+19 |
Discriminant |
Eigenvalues |
2- 3+ 2 3 -2 -2 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,309513,269045709] |
[a1,a2,a3,a4,a6] |
Generators |
[69:-17086:1] |
Generators of the group modulo torsion |
j |
135852232716143/1372891250688 |
j-invariant |
L |
11.621198986483 |
L(r)(E,1)/r! |
Ω |
0.15246514395826 |
Real period |
R |
0.74727456016237 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000473 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6018l1 |
Quadratic twists by: 17 |