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 |
deg |
4800 |
Modular degree for the optimal curve |
Δ |
-6976502784 = -1 · 210 · 35 · 232 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 -6 2 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,23,-4009] |
[a1,a2,a3,a4,a6] |
j |
1341919727/6976502784 |
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 |
58512m1 21942c1 |
Quadratic twists by: -4 -3 |