Atkin-Lehner |
2- 3- 5- 59- |
Signs for the Atkin-Lehner involutions |
Class |
70800dj |
Isogeny class |
Conductor |
70800 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
430080 |
Modular degree for the optimal curve |
Δ |
1431036099378000 = 24 · 310 · 53 · 594 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 4 -4 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-92613,10663578] |
[a1,a2,a3,a4,a6] |
Generators |
[1146:4779:8] |
Generators of the group modulo torsion |
j |
43925252149870592/715518049689 |
j-invariant |
L |
6.7546535194218 |
L(r)(E,1)/r! |
Ω |
0.4801487962987 |
Real period |
R |
0.70339169563643 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995485 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17700i1 70800cd1 |
Quadratic twists by: -4 5 |