Atkin-Lehner |
2+ 3+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
81312g |
Isogeny class |
Conductor |
81312 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
152064 |
Modular degree for the optimal curve |
Δ |
555377872896 = 212 · 33 · 73 · 114 |
Discriminant |
Eigenvalues |
2+ 3+ 3 7+ 11- 4 7 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3549,-71883] |
[a1,a2,a3,a4,a6] |
j |
82458112/9261 |
j-invariant |
L |
3.7383009557272 |
L(r)(E,1)/r! |
Ω |
0.62305015813648 |
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 |
81312bw1 81312bi1 |
Quadratic twists by: -4 -11 |