Atkin-Lehner |
2- 3- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
6216s |
Isogeny class |
Conductor |
6216 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
896 |
Modular degree for the optimal curve |
Δ |
-1392384 = -1 · 28 · 3 · 72 · 37 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 2 -4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,28,0] |
[a1,a2,a3,a4,a6] |
j |
9148592/5439 |
j-invariant |
L |
3.1577981993328 |
L(r)(E,1)/r! |
Ω |
1.5788990996664 |
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 |
12432b1 49728bc1 18648l1 43512v1 |
Quadratic twists by: -4 8 -3 -7 |