Atkin-Lehner |
2- 79- |
Signs for the Atkin-Lehner involutions |
Class |
1264i |
Isogeny class |
Conductor |
1264 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
144 |
Modular degree for the optimal curve |
Δ |
-1294336 = -1 · 214 · 79 |
Discriminant |
Eigenvalues |
2- -2 -2 0 4 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,16,-44] |
[a1,a2,a3,a4,a6] |
Generators |
[4:10:1] |
Generators of the group modulo torsion |
j |
103823/316 |
j-invariant |
L |
1.812456558429 |
L(r)(E,1)/r! |
Ω |
1.3916292718175 |
Real period |
R |
1.3023989902583 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
158e1 5056v1 11376r1 31600s1 |
Quadratic twists by: -4 8 -3 5 |