Atkin-Lehner |
3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
1035b |
Isogeny class |
Conductor |
1035 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
768 |
Modular degree for the optimal curve |
Δ |
-3592245915 = -1 · 310 · 5 · 233 |
Discriminant |
Eigenvalues |
-2 3- 5+ 3 -2 -2 -5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,267,2344] |
[a1,a2,a3,a4,a6] |
Generators |
[16:-104:1] |
Generators of the group modulo torsion |
j |
2887553024/4927635 |
j-invariant |
L |
1.3553264872317 |
L(r)(E,1)/r! |
Ω |
0.96101079847978 |
Real period |
R |
0.23505224731011 |
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 |
16560bl1 66240dd1 345e1 5175g1 |
Quadratic twists by: -4 8 -3 5 |