Atkin-Lehner |
2- 3+ 23- 53- |
Signs for the Atkin-Lehner involutions |
Class |
7314d |
Isogeny class |
Conductor |
7314 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
Δ |
122079319776 = 25 · 310 · 23 · 532 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 -6 2 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3657,-84969] |
[a1,a2,a3,a4,a6] |
j |
5408863423579153/122079319776 |
j-invariant |
L |
3.0738623522478 |
L(r)(E,1)/r! |
Ω |
0.61477247044957 |
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 |
58512m2 21942c2 |
Quadratic twists by: -4 -3 |