Atkin-Lehner |
2- 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
73696p |
Isogeny class |
Conductor |
73696 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
133056 |
Modular degree for the optimal curve |
Δ |
-6797484391936 = -1 · 29 · 710 · 47 |
Discriminant |
Eigenvalues |
2- 2 1 7- 5 -5 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-800,126008] |
[a1,a2,a3,a4,a6] |
j |
-392/47 |
j-invariant |
L |
5.5257336977127 |
L(r)(E,1)/r! |
Ω |
0.61397041116611 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
73696l1 73696f1 |
Quadratic twists by: -4 -7 |