Atkin-Lehner |
3- 7+ 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
64239i |
Isogeny class |
Conductor |
64239 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
1223040 |
Modular degree for the optimal curve |
Δ |
-2154022317540992997 = -1 · 38 · 78 · 195 · 23 |
Discriminant |
Eigenvalues |
-1 3- 2 7+ 3 4 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1966812,-1064186523] |
[a1,a2,a3,a4,a6] |
j |
-145958016844338433/373650767397 |
j-invariant |
L |
2.549307584262 |
L(r)(E,1)/r! |
Ω |
0.06373268951151 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64239f1 |
Quadratic twists by: -7 |