Atkin-Lehner |
3- 5+ 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
98325bu |
Isogeny class |
Conductor |
98325 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
677376 |
Modular degree for the optimal curve |
Δ |
-6253861763671875 = -1 · 36 · 59 · 192 · 233 |
Discriminant |
Eigenvalues |
0 3- 5+ -5 -6 -2 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,1050,3804781] |
[a1,a2,a3,a4,a6] |
Generators |
[-95:1687:1] [31:-1967:1] |
Generators of the group modulo torsion |
j |
11239424/549035875 |
j-invariant |
L |
7.1881547506339 |
L(r)(E,1)/r! |
Ω |
0.33518266218649 |
Real period |
R |
0.44678093723338 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001034 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10925c1 19665q1 |
Quadratic twists by: -3 5 |