Atkin-Lehner |
2- 3+ 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
97020p |
Isogeny class |
Conductor |
97020 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
580608 |
Modular degree for the optimal curve |
Δ |
-6848583588000000 = -1 · 28 · 33 · 56 · 78 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 11+ -4 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,38073,-2770754] |
[a1,a2,a3,a4,a6] |
Generators |
[107:1590:1] |
Generators of the group modulo torsion |
j |
153174672/171875 |
j-invariant |
L |
7.4380608264714 |
L(r)(E,1)/r! |
Ω |
0.22685463728855 |
Real period |
R |
2.7323153310944 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999808434 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
97020c2 97020g1 |
Quadratic twists by: -3 -7 |