Atkin-Lehner |
2+ 3- 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
35490bb |
Isogeny class |
Conductor |
35490 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
9434880 |
Modular degree for the optimal curve |
Δ |
-3.4252325855662E+23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -4 13- 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-114366529,-471607622848] |
[a1,a2,a3,a4,a6] |
Generators |
[2654592733199:1300436094376:214921799] |
Generators of the group modulo torsion |
j |
-15600206875151814733/32299804687500 |
j-invariant |
L |
4.1357839001486 |
L(r)(E,1)/r! |
Ω |
0.023080273092 |
Real period |
R |
14.932607468373 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
106470fm1 35490dx1 |
Quadratic twists by: -3 13 |