Atkin-Lehner |
2- 3+ 7+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
11214i |
Isogeny class |
Conductor |
11214 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
6240 |
Modular degree for the optimal curve |
Δ |
-392400288 = -1 · 25 · 39 · 7 · 89 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ -4 4 1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1325,-18251] |
[a1,a2,a3,a4,a6] |
Generators |
[43:32:1] |
Generators of the group modulo torsion |
j |
-13060888875/19936 |
j-invariant |
L |
6.6292854792959 |
L(r)(E,1)/r! |
Ω |
0.39564115741201 |
Real period |
R |
1.6755803472671 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89712m1 11214a1 78498bf1 |
Quadratic twists by: -4 -3 -7 |