Atkin-Lehner |
2- 5+ 11+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
111100c |
Isogeny class |
Conductor |
111100 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-7.869567825625E+20 |
Discriminant |
Eigenvalues |
2- 2 5+ 2 11+ 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10609908,13373792312] |
[a1,a2,a3,a4,a6] |
Generators |
[28351439:1373915928:6859] |
Generators of the group modulo torsion |
j |
-33021638293892004304/196739195640625 |
j-invariant |
L |
12.121090692372 |
L(r)(E,1)/r! |
Ω |
0.1601735517054 |
Real period |
R |
9.4593415655856 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007868 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22220b2 |
Quadratic twists by: 5 |