Atkin-Lehner |
2- 3+ 5+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
70080bn |
Isogeny class |
Conductor |
70080 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
-8928331038720 = -1 · 225 · 36 · 5 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 -2 -4 -7 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-34401,-2448639] |
[a1,a2,a3,a4,a6] |
Generators |
[363:5724:1] |
Generators of the group modulo torsion |
j |
-17175508997401/34058880 |
j-invariant |
L |
2.6717625888791 |
L(r)(E,1)/r! |
Ω |
0.17525649940341 |
Real period |
R |
3.8112175558338 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999987948 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70080w1 17520z1 |
Quadratic twists by: -4 8 |