Atkin-Lehner |
2- 3- 23- 71- |
Signs for the Atkin-Lehner involutions |
Class |
9798l |
Isogeny class |
Conductor |
9798 |
Conductor |
∏ cp |
156 |
Product of Tamagawa factors cp |
deg |
34944 |
Modular degree for the optimal curve |
Δ |
521752157356032 = 226 · 32 · 233 · 71 |
Discriminant |
Eigenvalues |
2- 3- -2 0 0 0 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-26189,1203345] |
[a1,a2,a3,a4,a6] |
Generators |
[162:1023:1] |
Generators of the group modulo torsion |
j |
1986467643827048017/521752157356032 |
j-invariant |
L |
6.9862338965229 |
L(r)(E,1)/r! |
Ω |
0.4874506217911 |
Real period |
R |
0.36749199706984 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
78384k1 29394a1 |
Quadratic twists by: -4 -3 |