Atkin-Lehner |
2- 5+ 13+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
61100a |
Isogeny class |
Conductor |
61100 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-61100000000 = -1 · 28 · 58 · 13 · 47 |
Discriminant |
Eigenvalues |
2- 1 5+ 2 -5 13+ -5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-133,11863] |
[a1,a2,a3,a4,a6] |
Generators |
[18:125:1] [138:1625:1] |
Generators of the group modulo torsion |
j |
-65536/15275 |
j-invariant |
L |
11.663761156323 |
L(r)(E,1)/r! |
Ω |
0.90353171074906 |
Real period |
R |
3.2272694520772 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12220g1 |
Quadratic twists by: 5 |