Atkin-Lehner |
7- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
73997h |
Isogeny class |
Conductor |
73997 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
-1103759554302858299 = -1 · 76 · 11 · 318 |
Discriminant |
Eigenvalues |
0 1 3 7- 11- 2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-3257149,-2264233785] |
[a1,a2,a3,a4,a6] |
Generators |
[1292865:1470041219:1] |
Generators of the group modulo torsion |
j |
-4480672202752/1294139 |
j-invariant |
L |
7.9627270561227 |
L(r)(E,1)/r! |
Ω |
0.056189169956015 |
Real period |
R |
7.8729357579264 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996662 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
73997g2 |
Quadratic twists by: -31 |