Atkin-Lehner |
2- 3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
69300bw |
Isogeny class |
Conductor |
69300 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
17418240 |
Modular degree for the optimal curve |
Δ |
-5.0551064839997E+24 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11+ 6 -3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-441946200,-3577674521500] |
[a1,a2,a3,a4,a6] |
j |
-3273741656681120014336/1733575611796875 |
j-invariant |
L |
3.5560443194761 |
L(r)(E,1)/r! |
Ω |
0.01646316815357 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23100m1 13860j1 |
Quadratic twists by: -3 5 |