Atkin-Lehner |
2- 3- 5- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
95370du |
Isogeny class |
Conductor |
95370 |
Conductor |
∏ cp |
1056 |
Product of Tamagawa factors cp |
deg |
608256 |
Modular degree for the optimal curve |
Δ |
-3230397054720000 = -1 · 211 · 38 · 54 · 113 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 11- 1 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-38885,4020225] |
[a1,a2,a3,a4,a6] |
Generators |
[-110:2695:1] |
Generators of the group modulo torsion |
j |
-22499500532104369/11177844480000 |
j-invariant |
L |
13.523081924136 |
L(r)(E,1)/r! |
Ω |
0.41740389758225 |
Real period |
R |
0.03067999333363 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999972989 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95370bx1 |
Quadratic twists by: 17 |