Atkin-Lehner |
2- 3- 5- 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
61380q |
Isogeny class |
Conductor |
61380 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-6242069790000 = -1 · 24 · 310 · 54 · 11 · 312 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 11+ 0 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-20892,-1168499] |
[a1,a2,a3,a4,a6] |
Generators |
[275:3726:1] |
Generators of the group modulo torsion |
j |
-86460203352064/535156875 |
j-invariant |
L |
5.850867878466 |
L(r)(E,1)/r! |
Ω |
0.19847869490119 |
Real period |
R |
3.6848211097617 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999777 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20460k1 |
Quadratic twists by: -3 |