Atkin-Lehner |
2- 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
61364a |
Isogeny class |
Conductor |
61364 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-924274507986176 = -1 · 28 · 236 · 293 |
Discriminant |
Eigenvalues |
2- 1 -3 4 -3 5 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,18868,1076084] |
[a1,a2,a3,a4,a6] |
Generators |
[-17408091:492565654:658503] |
Generators of the group modulo torsion |
j |
19600688/24389 |
j-invariant |
L |
7.27528590013 |
L(r)(E,1)/r! |
Ω |
0.33330780448709 |
Real period |
R |
10.913764697698 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999628 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116b2 |
Quadratic twists by: -23 |