Atkin-Lehner |
2- 5- 41+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
108650p |
Isogeny class |
Conductor |
108650 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
109920 |
Modular degree for the optimal curve |
Δ |
-89975781250 = -1 · 2 · 58 · 41 · 532 |
Discriminant |
Eigenvalues |
2- -2 5- -1 2 -1 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,737,12267] |
[a1,a2,a3,a4,a6] |
Generators |
[1894:28415:8] |
Generators of the group modulo torsion |
j |
113325935/230338 |
j-invariant |
L |
7.3292719061763 |
L(r)(E,1)/r! |
Ω |
0.74208192737315 |
Real period |
R |
4.9383172013318 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000017311 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
108650b1 |
Quadratic twists by: 5 |