Atkin-Lehner |
3+ 23+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
6417b |
Isogeny class |
Conductor |
6417 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1056 |
Modular degree for the optimal curve |
Δ |
-18500211 = -1 · 33 · 23 · 313 |
Discriminant |
Eigenvalues |
0 3+ -3 2 0 -4 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,66,15] |
[a1,a2,a3,a4,a6] |
j |
1177583616/685193 |
j-invariant |
L |
0.87543083491909 |
L(r)(E,1)/r! |
Ω |
1.3131462523786 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
102672bc1 6417e2 |
Quadratic twists by: -4 -3 |