Atkin-Lehner |
2+ 3- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
48960cu |
Isogeny class |
Conductor |
48960 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
430080 |
Modular degree for the optimal curve |
Δ |
-69625856880000000 = -1 · 210 · 311 · 57 · 173 |
Discriminant |
Eigenvalues |
2+ 3- 5- -3 -1 6 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-102252,-17876104] |
[a1,a2,a3,a4,a6] |
Generators |
[397:2025:1] |
Generators of the group modulo torsion |
j |
-158384129218816/93270234375 |
j-invariant |
L |
5.9024571581017 |
L(r)(E,1)/r! |
Ω |
0.1299773402287 |
Real period |
R |
1.6218368601013 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999975 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48960fj1 6120f1 16320i1 |
Quadratic twists by: -4 8 -3 |