Atkin-Lehner |
2+ 5- 41- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
108650i |
Isogeny class |
Conductor |
108650 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
672000 |
Modular degree for the optimal curve |
Δ |
-47971708226562500 = -1 · 22 · 59 · 415 · 53 |
Discriminant |
Eigenvalues |
2+ 1 5- 2 -3 1 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,87424,-3464702] |
[a1,a2,a3,a4,a6] |
Generators |
[4404:-107278:27] |
Generators of the group modulo torsion |
j |
37834921228411/24561514612 |
j-invariant |
L |
5.241584148641 |
L(r)(E,1)/r! |
Ω |
0.2044061062704 |
Real period |
R |
1.2821495983917 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014066 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
108650s1 |
Quadratic twists by: 5 |