Atkin-Lehner |
2- 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
9212d |
Isogeny class |
Conductor |
9212 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
14784 |
Modular degree for the optimal curve |
Δ |
-485534599424 = -1 · 28 · 79 · 47 |
Discriminant |
Eigenvalues |
2- 3 -1 7- 3 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-343,33614] |
[a1,a2,a3,a4,a6] |
j |
-432/47 |
j-invariant |
L |
4.5947195749018 |
L(r)(E,1)/r! |
Ω |
0.76578659581697 |
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 |
36848q1 82908s1 9212b1 |
Quadratic twists by: -4 -3 -7 |