Atkin-Lehner |
2- 3+ 5+ 11- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
100650bs |
Isogeny class |
Conductor |
100650 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
15552 |
Modular degree for the optimal curve |
Δ |
201300 = 22 · 3 · 52 · 11 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -3 11- -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-28,41] |
[a1,a2,a3,a4,a6] |
Generators |
[1:3:1] |
Generators of the group modulo torsion |
j |
97325545/8052 |
j-invariant |
L |
6.746946648743 |
L(r)(E,1)/r! |
Ω |
3.0990875456098 |
Real period |
R |
1.0885376015056 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000183 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100650bf1 |
Quadratic twists by: 5 |