Atkin-Lehner |
2+ 3+ 23- 31- |
Signs for the Atkin-Lehner involutions |
Class |
98394p |
Isogeny class |
Conductor |
98394 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
4526124 = 22 · 3 · 233 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ -3 3 -3 0 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-689,6681] |
[a1,a2,a3,a4,a6] |
Generators |
[13:-18:1] |
Generators of the group modulo torsion |
j |
2979767519/372 |
j-invariant |
L |
3.1596960465714 |
L(r)(E,1)/r! |
Ω |
2.3570963953176 |
Real period |
R |
0.33512588338469 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.999999999923 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98394m1 |
Quadratic twists by: -23 |