Atkin-Lehner |
7+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
73997d |
Isogeny class |
Conductor |
73997 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
122760 |
Modular degree for the optimal curve |
Δ |
-478364484059 = -1 · 72 · 11 · 316 |
Discriminant |
Eigenvalues |
0 3 -1 7+ 11- 4 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,1922,-7448] |
[a1,a2,a3,a4,a6] |
Generators |
[64674:676196:729] |
Generators of the group modulo torsion |
j |
884736/539 |
j-invariant |
L |
8.8325848114087 |
L(r)(E,1)/r! |
Ω |
0.54138688751293 |
Real period |
R |
8.1573686148857 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002255 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77a1 |
Quadratic twists by: -31 |