Atkin-Lehner |
2+ 3+ 5- 7- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
56070d |
Isogeny class |
Conductor |
56070 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
779520 |
Modular degree for the optimal curve |
Δ |
87309064080000000 = 210 · 39 · 57 · 7 · 892 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 2 -2 -8 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-333249,72751805] |
[a1,a2,a3,a4,a6] |
Generators |
[-494:11047:1] |
Generators of the group modulo torsion |
j |
207940803281162307/4435760000000 |
j-invariant |
L |
5.2799227991838 |
L(r)(E,1)/r! |
Ω |
0.34006632150308 |
Real period |
R |
1.1090111514707 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000326 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
56070q1 |
Quadratic twists by: -3 |