Atkin-Lehner |
2+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
97216l |
Isogeny class |
Conductor |
97216 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
72576 |
Modular degree for the optimal curve |
Δ |
-3734649856 = -1 · 210 · 76 · 31 |
Discriminant |
Eigenvalues |
2+ -2 -3 7- 6 2 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-457,-4929] |
[a1,a2,a3,a4,a6] |
j |
-87808/31 |
j-invariant |
L |
0.50718890624931 |
L(r)(E,1)/r! |
Ω |
0.50718881374278 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97216cf1 6076a1 1984f1 |
Quadratic twists by: -4 8 -7 |