Atkin-Lehner |
2- 3+ 5+ 17+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
109650bu |
Isogeny class |
Conductor |
109650 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
383616 |
Modular degree for the optimal curve |
Δ |
-3564995625000 = -1 · 23 · 33 · 57 · 173 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 -3 -5 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-5713,187031] |
[a1,a2,a3,a4,a6] |
j |
-1319778683209/228159720 |
j-invariant |
L |
4.5607580775257 |
L(r)(E,1)/r! |
Ω |
0.76012639634961 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21930q1 |
Quadratic twists by: 5 |