Atkin-Lehner |
2+ 5- 19+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
89680a |
Isogeny class |
Conductor |
89680 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
23552 |
Modular degree for the optimal curve |
Δ |
28697600 = 210 · 52 · 19 · 59 |
Discriminant |
Eigenvalues |
2+ -2 5- 0 -4 2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-360,2500] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:16:1] [0:50:1] |
Generators of the group modulo torsion |
j |
5052857764/28025 |
j-invariant |
L |
8.1971918895528 |
L(r)(E,1)/r! |
Ω |
2.1106213171354 |
Real period |
R |
1.9418907178767 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000192 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44840e1 |
Quadratic twists by: -4 |