Atkin-Lehner |
2+ 3+ 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
92778b |
Isogeny class |
Conductor |
92778 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
-30220606144512 = -1 · 215 · 33 · 7 · 474 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ 4 -1 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,7686,55188] |
[a1,a2,a3,a4,a6] |
j |
10288335767/6193152 |
j-invariant |
L |
1.6211328079695 |
L(r)(E,1)/r! |
Ω |
0.40528319846852 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92778c1 |
Quadratic twists by: -47 |