Atkin-Lehner |
2+ 7- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
110656v |
Isogeny class |
Conductor |
110656 |
Conductor |
∏ cp |
140 |
Product of Tamagawa factors cp |
deg |
2508800 |
Modular degree for the optimal curve |
Δ |
-1737310993373003776 = -1 · 216 · 77 · 13 · 195 |
Discriminant |
Eigenvalues |
2+ -2 -3 7- -5 13- -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1130337,466501759] |
[a1,a2,a3,a4,a6] |
Generators |
[603:-2128:1] [-195:26068:1] |
Generators of the group modulo torsion |
j |
-2437069964511307108/26509261983841 |
j-invariant |
L |
6.357569856725 |
L(r)(E,1)/r! |
Ω |
0.26634380051773 |
Real period |
R |
0.17049848042546 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000728 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110656bc1 13832d1 |
Quadratic twists by: -4 8 |