Atkin-Lehner |
3- 5- 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
7035l |
Isogeny class |
Conductor |
7035 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
1152 |
Modular degree for the optimal curve |
Δ |
-1582875 = -1 · 33 · 53 · 7 · 67 |
Discriminant |
Eigenvalues |
0 3- 5- 7- -3 -4 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-35,89] |
[a1,a2,a3,a4,a6] |
Generators |
[3:4:1] |
Generators of the group modulo torsion |
j |
-4878401536/1582875 |
j-invariant |
L |
4.2549891918196 |
L(r)(E,1)/r! |
Ω |
2.5251605746142 |
Real period |
R |
1.6850370762935 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
112560bu1 21105f1 35175a1 49245l1 |
Quadratic twists by: -4 -3 5 -7 |