Atkin-Lehner |
2- 7+ 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
104468i |
Isogeny class |
Conductor |
104468 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
999936 |
Modular degree for the optimal curve |
Δ |
26203464820624 = 24 · 78 · 132 · 412 |
Discriminant |
Eigenvalues |
2- -1 1 7+ -3 13- -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2576730,1592890069] |
[a1,a2,a3,a4,a6] |
Generators |
[651:13817:1] [915:-637:1] |
Generators of the group modulo torsion |
j |
20512864885010176/284089 |
j-invariant |
L |
9.9317291320139 |
L(r)(E,1)/r! |
Ω |
0.47417739247732 |
Real period |
R |
1.74543136731 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999980099 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104468l1 |
Quadratic twists by: -7 |