Atkin-Lehner |
2- 3+ 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
35490cq |
Isogeny class |
Conductor |
35490 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
47040 |
Modular degree for the optimal curve |
Δ |
-1287861120 = -1 · 27 · 35 · 5 · 72 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 5 13+ 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-6510,199467] |
[a1,a2,a3,a4,a6] |
Generators |
[45:-37:1] |
Generators of the group modulo torsion |
j |
-180544450042489/7620480 |
j-invariant |
L |
8.7271580450113 |
L(r)(E,1)/r! |
Ω |
1.4364088084799 |
Real period |
R |
0.43397703223932 |
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 |
106470bk1 35490m1 |
Quadratic twists by: -3 13 |