Atkin-Lehner |
5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
88445g |
Isogeny class |
Conductor |
88445 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
656640 |
Modular degree for the optimal curve |
Δ |
-1341366278336875 = -1 · 54 · 74 · 197 |
Discriminant |
Eigenvalues |
-2 -2 5+ 7+ -3 4 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-5896,1768736] |
[a1,a2,a3,a4,a6] |
Generators |
[-103:1137:1] [44:-1264:1] |
Generators of the group modulo torsion |
j |
-200704/11875 |
j-invariant |
L |
3.4819792094638 |
L(r)(E,1)/r! |
Ω |
0.3985525144038 |
Real period |
R |
0.36402346447863 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999383 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88445bv1 4655b1 |
Quadratic twists by: -7 -19 |