Atkin-Lehner |
2- 5- 13- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
61100r |
Isogeny class |
Conductor |
61100 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
576000 |
Modular degree for the optimal curve |
Δ |
6343585300000000 = 28 · 58 · 13 · 474 |
Discriminant |
Eigenvalues |
2- -1 5- 4 2 13- -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-775333,263003537] |
[a1,a2,a3,a4,a6] |
j |
515453008936960/63435853 |
j-invariant |
L |
2.4444666080511 |
L(r)(E,1)/r! |
Ω |
0.40741110108129 |
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 |
61100d1 |
Quadratic twists by: 5 |