Atkin-Lehner |
3- 5- 11- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
109395bb |
Isogeny class |
Conductor |
109395 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
705600 |
Modular degree for the optimal curve |
Δ |
-37493076232755 = -1 · 36 · 5 · 115 · 13 · 173 |
Discriminant |
Eigenvalues |
-1 3- 5- 5 11- 13+ 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-101072,12396574] |
[a1,a2,a3,a4,a6] |
j |
-156633529469534649/51430831595 |
j-invariant |
L |
3.1810231865226 |
L(r)(E,1)/r! |
Ω |
0.6362046787993 |
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 |
12155c1 |
Quadratic twists by: -3 |