Atkin-Lehner |
2- 3- 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
101640cr |
Isogeny class |
Conductor |
101640 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
248832 |
Modular degree for the optimal curve |
Δ |
172569474000 = 24 · 33 · 53 · 74 · 113 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 11+ -6 -8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-12195,513918] |
[a1,a2,a3,a4,a6] |
Generators |
[-114:660:1] [51:-165:1] |
Generators of the group modulo torsion |
j |
9419041273856/8103375 |
j-invariant |
L |
13.702363093507 |
L(r)(E,1)/r! |
Ω |
1.0098216467738 |
Real period |
R |
0.75383845903663 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997103 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101640bj1 |
Quadratic twists by: -11 |