Atkin-Lehner |
3+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
3381b |
Isogeny class |
Conductor |
3381 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
720 |
Modular degree for the optimal curve |
Δ |
-24353343 = -1 · 32 · 76 · 23 |
Discriminant |
Eigenvalues |
1 3+ 0 7- 4 6 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-25,232] |
[a1,a2,a3,a4,a6] |
j |
-15625/207 |
j-invariant |
L |
1.8043805505319 |
L(r)(E,1)/r! |
Ω |
1.8043805505319 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54096df1 10143s1 84525co1 69a1 |
Quadratic twists by: -4 -3 5 -7 |