Atkin-Lehner |
3- 17+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
71961d |
Isogeny class |
Conductor |
71961 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
118272 |
Modular degree for the optimal curve |
Δ |
-54092292129 = -1 · 33 · 176 · 83 |
Discriminant |
Eigenvalues |
-1 3- -1 0 3 -6 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-15901,770522] |
[a1,a2,a3,a4,a6] |
Generators |
[41:413:1] [59:167:1] |
Generators of the group modulo torsion |
j |
-18420660721/2241 |
j-invariant |
L |
7.6720852304581 |
L(r)(E,1)/r! |
Ω |
1.077362919743 |
Real period |
R |
1.1868617791838 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999231 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
249a1 |
Quadratic twists by: 17 |