Atkin-Lehner |
2+ 19- 73- |
Signs for the Atkin-Lehner involutions |
Class |
88768i |
Isogeny class |
Conductor |
88768 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
24064 |
Modular degree for the optimal curve |
Δ |
-22724608 = -1 · 214 · 19 · 73 |
Discriminant |
Eigenvalues |
2+ 2 0 -4 0 -1 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-293,2045] |
[a1,a2,a3,a4,a6] |
Generators |
[74:51:8] |
Generators of the group modulo torsion |
j |
-170368000/1387 |
j-invariant |
L |
7.1771122561279 |
L(r)(E,1)/r! |
Ω |
2.1516234472432 |
Real period |
R |
3.3356730062493 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004941 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88768n1 11096a1 |
Quadratic twists by: -4 8 |