Atkin-Lehner |
2- 5- 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
90650cu |
Isogeny class |
Conductor |
90650 |
Conductor |
∏ cp |
66 |
Product of Tamagawa factors cp |
deg |
554400 |
Modular degree for the optimal curve |
Δ |
10101776088320000 = 211 · 54 · 78 · 372 |
Discriminant |
Eigenvalues |
2- 0 5- 7+ -2 4 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-54130,349297] |
[a1,a2,a3,a4,a6] |
Generators |
[625:14191:1] |
Generators of the group modulo torsion |
j |
4868172225/2803712 |
j-invariant |
L |
9.6148372146769 |
L(r)(E,1)/r! |
Ω |
0.34706752638107 |
Real period |
R |
0.41974353826242 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013616 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90650a1 90650da1 |
Quadratic twists by: 5 -7 |