Atkin-Lehner |
2- 3+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
89376bp |
Isogeny class |
Conductor |
89376 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-62917872672711168 = -1 · 29 · 310 · 78 · 192 |
Discriminant |
Eigenvalues |
2- 3+ -4 7- -4 -4 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-49800,12820536] |
[a1,a2,a3,a4,a6] |
Generators |
[481:9996:1] |
Generators of the group modulo torsion |
j |
-226757813192/1044517761 |
j-invariant |
L |
2.7183962641883 |
L(r)(E,1)/r! |
Ω |
0.30392920688106 |
Real period |
R |
4.4720879006374 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000024654 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
89376bc2 12768ba2 |
Quadratic twists by: -4 -7 |