Atkin-Lehner |
2+ 3- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
222d |
Isogeny class |
Conductor |
222 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
52 |
Modular degree for the optimal curve |
Δ |
-909312 = -1 · 213 · 3 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 4 -1 -1 -3 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,1,-46] |
[a1,a2,a3,a4,a6] |
j |
357911/909312 |
j-invariant |
L |
1.2987881634354 |
L(r)(E,1)/r! |
Ω |
1.2987881634354 |
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 |
1776f1 7104e1 666e1 5550y1 |
Quadratic twists by: -4 8 -3 5 |