Atkin-Lehner |
2- 3- 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
81900bj |
Isogeny class |
Conductor |
81900 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
2275427700000000 = 28 · 36 · 58 · 74 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 6 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-36000,1282500] |
[a1,a2,a3,a4,a6] |
Generators |
[-164:1666:1] |
Generators of the group modulo torsion |
j |
70778880/31213 |
j-invariant |
L |
6.9001223489217 |
L(r)(E,1)/r! |
Ω |
0.41485792052699 |
Real period |
R |
2.7720825228522 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004585 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9100j1 81900z1 |
Quadratic twists by: -3 5 |