Atkin-Lehner |
2- 3- 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
46746bi |
Isogeny class |
Conductor |
46746 |
Conductor |
∏ cp |
34 |
Product of Tamagawa factors cp |
deg |
616896 |
Modular degree for the optimal curve |
Δ |
-16086639463759872 = -1 · 217 · 39 · 76 · 53 |
Discriminant |
Eigenvalues |
2- 3- 4 7- 1 4 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,62392,1104779] |
[a1,a2,a3,a4,a6] |
j |
313185171671/187564032 |
j-invariant |
L |
8.1524094351469 |
L(r)(E,1)/r! |
Ω |
0.23977674809098 |
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 |
15582o1 954j1 |
Quadratic twists by: -3 -7 |