Atkin-Lehner |
11+ 13- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
73931b |
Isogeny class |
Conductor |
73931 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
916608 |
Modular degree for the optimal curve |
Δ |
-880271389951811 = -1 · 119 · 132 · 472 |
Discriminant |
Eigenvalues |
2 -1 -3 2 11+ 13- 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-247122,-47223375] |
[a1,a2,a3,a4,a6] |
j |
-707824406528/373321 |
j-invariant |
L |
3.4259245387036 |
L(r)(E,1)/r! |
Ω |
0.10706014352731 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
73931a1 |
Quadratic twists by: -11 |