Atkin-Lehner |
3- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
12321c |
Isogeny class |
Conductor |
12321 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
27360 |
Modular degree for the optimal curve |
Δ |
69205338429957 = 36 · 377 |
Discriminant |
Eigenvalues |
0 3- 0 -1 -3 4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-41070,-3178476] |
[a1,a2,a3,a4,a6] |
j |
4096000/37 |
j-invariant |
L |
1.3421934408239 |
L(r)(E,1)/r! |
Ω |
0.33554836020597 |
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 |
1369a1 333a1 |
Quadratic twists by: -3 37 |