Atkin-Lehner |
7- 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
73997g |
Isogeny class |
Conductor |
73997 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-1243667579 = -1 · 76 · 11 · 312 |
Discriminant |
Eigenvalues |
0 -1 3 7- 11+ -2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-3389,77097] |
[a1,a2,a3,a4,a6] |
Generators |
[15:171:1] |
Generators of the group modulo torsion |
j |
-4480672202752/1294139 |
j-invariant |
L |
5.4294460902891 |
L(r)(E,1)/r! |
Ω |
1.4994806714034 |
Real period |
R |
0.60348072444905 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999982207 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
73997h2 |
Quadratic twists by: -31 |