Atkin-Lehner |
2+ 3+ 5- 11+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
110550k |
Isogeny class |
Conductor |
110550 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1281600 |
Modular degree for the optimal curve |
Δ |
4451047012500000 = 25 · 3 · 58 · 116 · 67 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 11+ -1 8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-160075,-24507875] |
[a1,a2,a3,a4,a6] |
Generators |
[-1130007:2808404:4913] |
Generators of the group modulo torsion |
j |
1161284015123545/11394680352 |
j-invariant |
L |
3.3978755307949 |
L(r)(E,1)/r! |
Ω |
0.23882270241087 |
Real period |
R |
7.113803451445 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004141 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110550bv1 |
Quadratic twists by: 5 |