Atkin-Lehner |
2- 3- 11+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
97284j |
Isogeny class |
Conductor |
97284 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
149760 |
Modular degree for the optimal curve |
Δ |
-5547522816 = -1 · 28 · 35 · 113 · 67 |
Discriminant |
Eigenvalues |
2- 3- -3 -5 11+ -5 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1437,20799] |
[a1,a2,a3,a4,a6] |
Generators |
[21:-18:1] [-15:198:1] |
Generators of the group modulo torsion |
j |
-963780608/16281 |
j-invariant |
L |
9.2429106985946 |
L(r)(E,1)/r! |
Ω |
1.3562167673006 |
Real period |
R |
0.22717387863688 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999995602 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97284i1 |
Quadratic twists by: -11 |