Atkin-Lehner |
2+ 7- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
28798i |
Isogeny class |
Conductor |
28798 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
10944 |
Modular degree for the optimal curve |
Δ |
-341486684 = -1 · 22 · 73 · 114 · 17 |
Discriminant |
Eigenvalues |
2+ 1 3 7- 11- -4 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,118,-728] |
[a1,a2,a3,a4,a6] |
Generators |
[175:2233:1] |
Generators of the group modulo torsion |
j |
12562583/23324 |
j-invariant |
L |
5.8149455662106 |
L(r)(E,1)/r! |
Ω |
0.89381918879115 |
Real period |
R |
3.2528645833141 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
28798t1 |
Quadratic twists by: -11 |