Atkin-Lehner |
2+ 3- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
22848bb |
Isogeny class |
Conductor |
22848 |
Conductor |
∏ cp |
34 |
Product of Tamagawa factors cp |
deg |
78336 |
Modular degree for the optimal curve |
Δ |
-337351298122944 = -1 · 26 · 317 · 74 · 17 |
Discriminant |
Eigenvalues |
2+ 3- -1 7+ -3 -3 17- -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,14259,597573] |
[a1,a2,a3,a4,a6] |
Generators |
[228:3969:1] |
Generators of the group modulo torsion |
j |
5009339741732864/5271114033171 |
j-invariant |
L |
5.2599163555677 |
L(r)(E,1)/r! |
Ω |
0.3577825580232 |
Real period |
R |
0.43239509236375 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22848ch1 357a1 68544z1 |
Quadratic twists by: -4 8 -3 |