Atkin-Lehner |
2- 3- 7- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
14322l |
Isogeny class |
Conductor |
14322 |
Conductor |
∏ cp |
216 |
Product of Tamagawa factors cp |
deg |
43776 |
Modular degree for the optimal curve |
Δ |
108303193152 = 26 · 33 · 72 · 113 · 312 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 11- 2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-36603,2692305] |
[a1,a2,a3,a4,a6] |
j |
5423435745859608625/108303193152 |
j-invariant |
L |
5.8435610839018 |
L(r)(E,1)/r! |
Ω |
0.97392684731696 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
114576v1 42966n1 100254bo1 |
Quadratic twists by: -4 -3 -7 |