Atkin-Lehner |
2+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
10304i |
Isogeny class |
Conductor |
10304 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
768 |
Modular degree for the optimal curve |
Δ |
-1154048 = -1 · 210 · 72 · 23 |
Discriminant |
Eigenvalues |
2+ 1 0 7- 2 3 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,7,-49] |
[a1,a2,a3,a4,a6] |
j |
32000/1127 |
j-invariant |
L |
2.6413576955359 |
L(r)(E,1)/r! |
Ω |
1.3206788477679 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10304x1 644b1 92736ch1 72128d1 |
Quadratic twists by: -4 8 -3 -7 |