Atkin-Lehner |
2- 3- 73- |
Signs for the Atkin-Lehner involutions |
Class |
1314g |
Isogeny class |
Conductor |
1314 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
512 |
Modular degree for the optimal curve |
Δ |
17242308 = 22 · 310 · 73 |
Discriminant |
Eigenvalues |
2- 3- 4 0 -2 0 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-68,-61] |
[a1,a2,a3,a4,a6] |
j |
47045881/23652 |
j-invariant |
L |
3.5087219290559 |
L(r)(E,1)/r! |
Ω |
1.7543609645279 |
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 |
10512y1 42048be1 438g1 32850f1 |
Quadratic twists by: -4 8 -3 5 |