Atkin-Lehner |
2- 3- 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
9198m |
Isogeny class |
Conductor |
9198 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1920 |
Modular degree for the optimal curve |
Δ |
-4470228 = -1 · 22 · 37 · 7 · 73 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -4 1 -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,40,15] |
[a1,a2,a3,a4,a6] |
Generators |
[5:15:1] |
Generators of the group modulo torsion |
j |
9938375/6132 |
j-invariant |
L |
6.5318333815854 |
L(r)(E,1)/r! |
Ω |
1.513886897341 |
Real period |
R |
0.53932640155103 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
73584x1 3066d1 64386bq1 |
Quadratic twists by: -4 -3 -7 |