Atkin-Lehner |
2+ 3+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
7008c |
Isogeny class |
Conductor |
7008 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-196448256 = -1 · 212 · 32 · 732 |
Discriminant |
Eigenvalues |
2+ 3+ -2 2 -2 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-49,-671] |
[a1,a2,a3,a4,a6] |
j |
-3241792/47961 |
j-invariant |
L |
1.5322857195394 |
L(r)(E,1)/r! |
Ω |
0.76614285976969 |
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 |
7008g2 14016cb1 21024o2 |
Quadratic twists by: -4 8 -3 |