Atkin-Lehner |
2- 3- 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
64386bp |
Isogeny class |
Conductor |
64386 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
-43834727210712228 = -1 · 22 · 312 · 710 · 73 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -3 -2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-119300,18818475] |
[a1,a2,a3,a4,a6] |
j |
-911871625/212868 |
j-invariant |
L |
1.3755064501205 |
L(r)(E,1)/r! |
Ω |
0.34387661321683 |
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 |
21462d1 64386bh1 |
Quadratic twists by: -3 -7 |