Atkin-Lehner |
2- 3- 7+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
9198g |
Isogeny class |
Conductor |
9198 |
Conductor |
∏ cp |
136 |
Product of Tamagawa factors cp |
deg |
8257920 |
Modular degree for the optimal curve |
Δ |
-2.9522506004733E+28 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ -4 3 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,323496850,-7957701422211] |
[a1,a2,a3,a4,a6] |
Generators |
[125153:44578467:1] |
Generators of the group modulo torsion |
j |
5135779311915892250749430375/40497264752720201543319552 |
j-invariant |
L |
6.3445729983469 |
L(r)(E,1)/r! |
Ω |
0.018491860401365 |
Real period |
R |
2.5228003583255 |
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 |
73584bb1 3066a1 64386cb1 |
Quadratic twists by: -4 -3 -7 |