Atkin-Lehner |
2+ 3- 5+ 17- 43- |
Signs for the Atkin-Lehner involutions |
Class |
109650bf |
Isogeny class |
Conductor |
109650 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
282624 |
Modular degree for the optimal curve |
Δ |
5825156250000 = 24 · 3 · 510 · 172 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 0 2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-20251,1101398] |
[a1,a2,a3,a4,a6] |
j |
58777658151841/372810000 |
j-invariant |
L |
3.049253872103 |
L(r)(E,1)/r! |
Ω |
0.76231343859406 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21930bb1 |
Quadratic twists by: 5 |