Atkin-Lehner |
2- 7+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
110656be |
Isogeny class |
Conductor |
110656 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
1064448 |
Modular degree for the optimal curve |
Δ |
-98537445702212608 = -1 · 210 · 72 · 133 · 197 |
Discriminant |
Eigenvalues |
2- 0 -4 7+ -2 13- 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-26612,15195000] |
[a1,a2,a3,a4,a6] |
Generators |
[-782:-32851:8] [-75:4095:1] |
Generators of the group modulo torsion |
j |
-2035430602516224/96227974318567 |
j-invariant |
L |
8.1382666329385 |
L(r)(E,1)/r! |
Ω |
0.27944898416343 |
Real period |
R |
0.6933940148569 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000004564 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110656t1 27664i1 |
Quadratic twists by: -4 8 |