Atkin-Lehner |
2- 3- 7+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
74256cj |
Isogeny class |
Conductor |
74256 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
2765952 |
Modular degree for the optimal curve |
Δ |
-2.0979668549829E+21 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ -2 13+ 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2993128,-2972357836] |
[a1,a2,a3,a4,a6] |
Generators |
[2318:50496:1] |
Generators of the group modulo torsion |
j |
-724002020651148891625/512198939204813952 |
j-invariant |
L |
7.1608657210187 |
L(r)(E,1)/r! |
Ω |
0.055654611947286 |
Real period |
R |
4.5952203311081 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992961 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9282b1 |
Quadratic twists by: -4 |