Atkin-Lehner |
2- 3- 17+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
71094w |
Isogeny class |
Conductor |
71094 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
58752 |
Modular degree for the optimal curve |
Δ |
-3357911808 = -1 · 28 · 33 · 172 · 412 |
Discriminant |
Eigenvalues |
2- 3- -2 3 2 -1 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2114,-37692] |
[a1,a2,a3,a4,a6] |
Generators |
[76:454:1] |
Generators of the group modulo torsion |
j |
-3615377559553/11619072 |
j-invariant |
L |
12.543047001193 |
L(r)(E,1)/r! |
Ω |
0.35197244837974 |
Real period |
R |
0.74242594945526 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000807 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71094u1 |
Quadratic twists by: 17 |