Atkin-Lehner |
2- 3+ 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
97020g |
Isogeny class |
Conductor |
97020 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-58212000000 = -1 · 28 · 33 · 56 · 72 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 11+ 4 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,777,8078] |
[a1,a2,a3,a4,a6] |
Generators |
[79:750:1] |
Generators of the group modulo torsion |
j |
153174672/171875 |
j-invariant |
L |
6.1050689796794 |
L(r)(E,1)/r! |
Ω |
0.74043970067885 |
Real period |
R |
0.68709949943297 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011988 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97020z2 97020p1 |
Quadratic twists by: -3 -7 |