Atkin-Lehner |
2+ 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
35280s |
Isogeny class |
Conductor |
35280 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
2211840 |
Modular degree for the optimal curve |
Δ |
-6.5412377240146E+21 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -2 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7136262,8305551891] |
[a1,a2,a3,a4,a6] |
Generators |
[2347:66970:1] |
Generators of the group modulo torsion |
j |
-1084767227025408/176547030625 |
j-invariant |
L |
6.8722668817886 |
L(r)(E,1)/r! |
Ω |
0.12871300446181 |
Real period |
R |
6.6740215086686 |
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 |
17640bs1 35280e1 5040c1 |
Quadratic twists by: -4 -3 -7 |