Atkin-Lehner |
2+ 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
35280k |
Isogeny class |
Conductor |
35280 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
8192 |
Modular degree for the optimal curve |
Δ |
11854080 = 28 · 33 · 5 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -6 -2 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-63,-98] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:8:1] [-3:8:1] |
Generators of the group modulo torsion |
j |
11664/5 |
j-invariant |
L |
8.0602127844875 |
L(r)(E,1)/r! |
Ω |
1.7614929705551 |
Real period |
R |
2.2878924069582 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17640bp1 35280u1 35280v1 |
Quadratic twists by: -4 -3 -7 |