Atkin-Lehner |
2- 5+ 23+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
108100f |
Isogeny class |
Conductor |
108100 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
559872 |
Modular degree for the optimal curve |
Δ |
-25403500000000 = -1 · 28 · 59 · 23 · 472 |
Discriminant |
Eigenvalues |
2- -2 5+ -5 2 0 7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-89133,-10275137] |
[a1,a2,a3,a4,a6] |
Generators |
[420936:11133125:512] |
Generators of the group modulo torsion |
j |
-19578714136576/6350875 |
j-invariant |
L |
4.1594030577495 |
L(r)(E,1)/r! |
Ω |
0.1381500578785 |
Real period |
R |
7.5269658710803 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999393966 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21620b1 |
Quadratic twists by: 5 |