Atkin-Lehner |
2- 5- 13- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
61100q |
Isogeny class |
Conductor |
61100 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
28800 |
Modular degree for the optimal curve |
Δ |
4594720000 = 28 · 54 · 13 · 472 |
Discriminant |
Eigenvalues |
2- -1 5- 2 4 13- -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-533,-3263] |
[a1,a2,a3,a4,a6] |
j |
104857600/28717 |
j-invariant |
L |
2.0278182748145 |
L(r)(E,1)/r! |
Ω |
1.0139091369289 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61100c1 |
Quadratic twists by: 5 |