Atkin-Lehner |
3+ 5+ 7+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
35175a |
Isogeny class |
Conductor |
35175 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-24732421875 = -1 · 33 · 59 · 7 · 67 |
Discriminant |
Eigenvalues |
0 3+ 5+ 7+ -3 4 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-883,12918] |
[a1,a2,a3,a4,a6] |
Generators |
[12:62:1] |
Generators of the group modulo torsion |
j |
-4878401536/1582875 |
j-invariant |
L |
3.8892876468185 |
L(r)(E,1)/r! |
Ω |
1.1292861397879 |
Real period |
R |
1.7220115920083 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105525i1 7035l1 |
Quadratic twists by: -3 5 |