Atkin-Lehner |
2- 3- 5- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
86100bs |
Isogeny class |
Conductor |
86100 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
522240 |
Modular degree for the optimal curve |
Δ |
249178781250000 = 24 · 34 · 59 · 74 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 2 -2 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-136333,19315088] |
[a1,a2,a3,a4,a6] |
j |
8967674789888/7973721 |
j-invariant |
L |
4.4076378286805 |
L(r)(E,1)/r! |
Ω |
0.5509547290377 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86100p1 |
Quadratic twists by: 5 |