Atkin-Lehner |
2+ 3- 5+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
84270g |
Isogeny class |
Conductor |
84270 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
898560 |
Modular degree for the optimal curve |
Δ |
-35241334195110000 = -1 · 24 · 3 · 54 · 537 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 0 -2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-84329,13047452] |
[a1,a2,a3,a4,a6] |
j |
-2992209121/1590000 |
j-invariant |
L |
0.68256650023743 |
L(r)(E,1)/r! |
Ω |
0.34128323431258 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1590o1 |
Quadratic twists by: 53 |